Question

Find the value of \[x\] , when \[2.5:4=x:7.5\]

Answer 1

Hint: The ratio can be calculated by dividing the two terms present on both sides of the ratio symbol. In order to find the value of \[x\] there are two ways. One is to simply multiply the Left Hand Side of the equation by a number so that \[4\] will become equal to \[7.5\] . Then the value which is located in the place of \[2.5\] will be the required answer.

Complete step-by-step solution:
The given equation is
\[2.5:4=x:7.5\]
We can represent the above equation by the fractions as shown
\[\dfrac{2.5}{4}=\dfrac{x}{7.5}\]
To find the value of \[x\] the Left Hand Side of the Equation with \[7.5\]
$ \Rightarrow \dfrac{2.5}{4}\times 7.5=x $
$ \Rightarrow \dfrac{2.5\times 7.5}{4}=x $
$\Rightarrow \dfrac{2.5\times 7.5}{4}=x $
Interchange LHS of the equation to RHS
\[\Rightarrow x=\dfrac{18.75}{4}\]
Divide the value of \[18.75\] with \[4\]
\[\Rightarrow x=\text{4}\text{.6875}\]
Additional Information:
Proportion is based on the idea that the ratio between any two numbers can be expressed in different ways. This can be based on the property of proportions. In proportions, the product of extremes is equal to the product of means. The means are the numbers which are present on either side of proportion and extremes are the numbers which are present on the extreme side of the equation. This problem is solved by using the above property.

Note: The values on either side of the proportion are not to be confusedly solved. The values of means are to be multiplied and in similar ways the extremes are multiplied. To solve the value of \[x\] first take the product of the extremes given by \[2.5\] and \[7.5\] . Then divide with given mean value i.e., \[4\].