Chapter 19, Problem 1A

Solve the proportion $\frac{3}{R}=\frac{11}{9}$for R. If necessary, round the answer to 3 decimal places.

To determine

To solve the given proportion for $R$.

Answer to Problem 1A

  $R=2.455$

Explanation of Solution

Given information:

A proportion is given as $\frac{3}{R}=\frac{11}{9}$.

Calculation:

We have been given a proportion $\frac{3}{R}=\frac{11}{9}$.

Applying cross multiplication,

  $\begin{array}{l}\Rightarrow 3\times 9=11\times R\\ \Rightarrow 27=11R\\ \Rightarrow \frac{27}{11}=R\text{ {Divide both side by 11}}\\ \Rightarrow R=\mathrm{2.454545..}\\ \Rightarrow R=2.455\end{array}$

Hence, $R=2.455$.