Chapter 8.1, Problem 2PSA

To determine

To check:The equivalency of the given proportion.

Answer to Problem 2PSA

The given proportions are equivalent

Explanation of Solution

Given information

  $\frac{p}{q}=\frac{r}{s}$

  $\begin{array}{l}\frac{\text{r}}{\text{p}}=\frac{s}{q}\\ \Rightarrow \frac{\text{q}}{\text{p}}=\frac{\text{s}}{\text{r}}\\ \Rightarrow \frac{\text{p}}{\text{q}}=\frac{\text{r}}{\text{s}}\end{array}$

Which is the given proportion

Hence, yes, given proportion is equivalent