Chapter 8, Problem 9RP

To determine

To find the value of x in terms of a, b and r.

Answer to Problem 9RP

The value of $x=\frac{2br}{3a}$

Explanation of Solution

Given information:

  $\frac{r}{3x}=\frac{a}{2b}$

Formula used:

A proportion is an equation stating that two or more ratios are equal.

Proportion is $\frac{a}{b}=\frac{c}{d}$

Calculation:

It is given that,

  $\begin{array}{l}\frac{r}{3x}=\frac{a}{2b}\\ \therefore 3ax=2br\end{array}$

  $\therefore x=\frac{2br}{3a}$