Answer
Verified
401.4k+ views
Hint: A proportion is a mathematical comparison between two numbers. Often, these numbers can represent a comparison between things or people. For example, say you walked into a room full of people. You want to know how many boys there are in comparison to how many girls there are in the room. You would write that comparison in the form of a proportion.
A ratio is a way to compare two quantities by using division as in miles per hour.
A proportion on the other hand is an equation that says that two ratio are equivalent
If one number in a proportion is unknown you can find that number by solving the proportion
It is formulate as:
\[a:b::c:d\]
\[ \Rightarrow \dfrac{a}{b} = \dfrac{c}{d}\]
\[ \Rightarrow a \times d = b \times c\]
Therefore,
Complete step by step answer:
Given
\[5:15 = 4:x......(1)\]
We need to find the value of \[x\]in proportion.
We know that if two number are in proportion i.e \[a:b::c:d\] or \[a:b = c:d,\]then we can write them as\[\dfrac{a}{b} = \dfrac{c}{d}\]
Hence \[(1) \Rightarrow \dfrac{5}{{15}} = \dfrac{4}{x}\]
Cross multiplying, we get
\[5 \times x = 15 \times 4\]
\[ \Rightarrow x = \dfrac{{15 \times 4}}{5}\]
As 5 was in multiplication LHS it will be in division on RHS
\[ \Rightarrow x = 3 \times 4\]
\[ \Rightarrow x = 12\]
Hence the value of \[x\] is 12.
Note: For four numbers a, b, c, d if \[a:b = c:d\] then \[b:a = d:c,\] it is known as invert and properly
For four numbers a ,b, c, d if \[a:b = c:d\] then \[a:c = b:d\]if the second and third terms interchange their places, it is known as alternator property.
We can also use component do and dividend property to simply the proportion problems.
A ratio is a way to compare two quantities by using division as in miles per hour.
A proportion on the other hand is an equation that says that two ratio are equivalent
If one number in a proportion is unknown you can find that number by solving the proportion
It is formulate as:
\[a:b::c:d\]
\[ \Rightarrow \dfrac{a}{b} = \dfrac{c}{d}\]
\[ \Rightarrow a \times d = b \times c\]
Therefore,
Complete step by step answer:
Given
\[5:15 = 4:x......(1)\]
We need to find the value of \[x\]in proportion.
We know that if two number are in proportion i.e \[a:b::c:d\] or \[a:b = c:d,\]then we can write them as\[\dfrac{a}{b} = \dfrac{c}{d}\]
Hence \[(1) \Rightarrow \dfrac{5}{{15}} = \dfrac{4}{x}\]
Cross multiplying, we get
\[5 \times x = 15 \times 4\]
\[ \Rightarrow x = \dfrac{{15 \times 4}}{5}\]
As 5 was in multiplication LHS it will be in division on RHS
\[ \Rightarrow x = 3 \times 4\]
\[ \Rightarrow x = 12\]
Hence the value of \[x\] is 12.
Note: For four numbers a, b, c, d if \[a:b = c:d\] then \[b:a = d:c,\] it is known as invert and properly
For four numbers a ,b, c, d if \[a:b = c:d\] then \[a:c = b:d\]if the second and third terms interchange their places, it is known as alternator property.
We can also use component do and dividend property to simply the proportion problems.
Recently Updated Pages
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
Fill the blanks with proper collective nouns 1 A of class 10 english CBSE
What is the color of ferrous sulphate crystals? How does this color change after heating? Name the products formed on strongly heating ferrous sulphate crystals. What type of chemical reaction occurs in this type of change.
One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Net gain of ATP in glycolysis a 6 b 2 c 4 d 8 class 11 biology CBSE
What organs are located on the left side of your body class 11 biology CBSE