Question

Find the value of $x$ in the following case:

$\frac{3}{2}=\frac{27}{x}$

Answer 1

Finding the value of $x$:

Cross-Multiplication

We know, in two equivalent fractions, the product of the numerator of the first fraction and the denominator of the second fraction is equal to the product of the numerator of the second fraction and the denominator of the first fraction.

Given equivalent fractions:

$\Rightarrow \frac{3}{2}=\frac{27}{x}$

$$\begin{gathered} \Rightarrow 3\times x=2\times 27(ApplyingCross-Multiplication) \\ \Rightarrow x=\frac{2\times 27}{3} \\ \Rightarrow x=18 \end{gathered}$$

Hence, the value of $x$ is found to be $18$.