Chapter 6.3, Problem 43E

To determine

Tofind what the ratio $\frac{\text{a}}{\text{c}}$ is equivalent to

Answer to Problem 43E

The ratio $\frac{\text{a}}{\text{c}}$ is equivalent to $\frac{3}{5}$

Explanation of Solution

Given information :

Consider the question that the ratio $\frac{\text{a}}{\text{b}}=\frac{3}{4}\text{ and the ratio }\frac{\text{b}}{\text{c}}=\frac{4}{5}$

Calculations:

apply the cross products property to get the solution

Therefore,

The equation will be;

  $\begin{array}{l}\text{a =}\frac{3\text{b}}{4}\text{ c =}\frac{5\text{b}}{4}\\ \frac{\text{a}}{\text{c}}=\frac{3\text{b}}{4}\times \frac{4}{5\text{b}}\\ \frac{\text{a}}{\text{c}}=\frac{3}{5}\end{array}$

Therefore,After using the cross product propertyThe ratio $\frac{\text{a}}{\text{c}}$ is equivalent to $\frac{3}{5}$