
The fourth proportional to 5, 8, 15 is
A) 24
B) 18
C) 20
D) 21
Answer
449.5k+ views
Hint: We have been given three numbers, if the ratios of first and second will be proportional to that of third and fourth, then the fourth value will be known as their fourth proportional. Using this fact, we can find the required value of fourth proportional to the given numbers. The ratio in fraction can be given as:
And the proportionality as where is the fourth proportional.
Complete step by step solution:
If four integers a, b, c, d are in proportion, they can be written as
As proportion denotes equivalency between the two ratios. Here, is called the fourth proportional to and .
In fraction, this proportionality can be written as:
For the given question, the four values are:
Let
The fourth proportional that is required to be calculated is supposed to be here. Substituting the values, we get:
The value of x can be calculated by the cross multiplication of the obtained value.
Therefore, the fourth proportional to 5, 8, 15 is 24.
Hence, the correct answer is “Option A”.
Note:
We can denote the proportionality of numbers with either ‘::’ sign or ‘=’ sign. The proportionality of integers can also be denoted as:
This shows that the ratio of and is proportional to that of and . The ratio is denoted by ‘:’ sign between the quantities. In this formula, and are called mean terms while and are known as extremes.
And the proportionality as
Complete step by step solution:
If four integers a, b, c, d are in proportion, they can be written as
As proportion denotes equivalency between the two ratios. Here,
In fraction, this proportionality can be written as:
For the given question, the four values are:
Let
The fourth proportional that is required to be calculated is supposed to be
The value of x can be calculated by the cross multiplication of the obtained value.
Therefore, the fourth proportional to 5, 8, 15 is 24.
Hence, the correct answer is “Option A”.
Note:
We can denote the proportionality of numbers with either ‘::’ sign or ‘=’ sign. The proportionality of integers can also be denoted as:
This shows that the ratio of
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