Question

Find $x$, if $x:39::6:8$

Answer 1

Solve for $x$

Given, $x:39::6:8$

Using the law of proportions and ratios, we know that $a:b::c:d$ is $\frac{a}{b}=\frac{c}{d}$

So, if $x:39::6:8$,

$$\begin{gathered} \Rightarrow \frac{x}{39}=\frac{6}{8} \\ \Rightarrow x=\frac{6\times 39}{8} \\ \Rightarrow x=\frac{117}{4} \end{gathered}$$

Therefore, value of $x$ is $\frac{117}{4}$.