Question

Solve each proportion. If necessary, round to the nearest hundredth.

$\frac{a}{3}=\frac{16}{24}$

Short answer

The value a is 2.

Step-by-step solution

Step 1. Given information.

We have an equation$\frac{a}{3}=\frac{16}{24}$.

To find the value of the a.

Step 2. Apply concept.

We solve the given equation using the cross-product concept.

As$\frac{x}{y}=\frac{3}{4}\Rightarrow 4x=3y$

Step 3. Calculation.

Solving the given equation:

$\begin{array}{l}\frac{a}{3}=\frac{16}{24}\\ \Rightarrow a=\frac{16}{24}\times 3\\ \Rightarrow a=\frac{16}{8}\\ \Rightarrow a=2\end{array}$

Hence, the value a is 2.