4/9 = 16/?

Answer 1

To solve the proportion \(\frac{4}{9} = \frac{16}{?}\), you can use cross-multiplication. Here's the step-by-step solution:

1. Set up the equation using cross-multiplication:
\[
4 \times ? = 16 \times 9
\]

2. Perform the multiplication on the right side of the equation:
\[
4 \times ? = 144
\]

3. To isolate \( ? \), divide both sides of the equation by 4:
\[
? = \frac{144}{4}
\]

4. Calculate the division:
\[
? = 36
\]

So, \(\frac{4}{9} = \frac{16}{36}\).

Therefore, the missing value is \( 36 \).