Question

Solve the following proportion
LaTeX: 3/7=18/x

Answer 1

To solve the proportion \( \frac{3}{7} = \frac{18}{x} \), cross multiply to find 3x = 126, then divide by 3 to get x = 42.

Step-by-step explanation:

First, set up a proportion using the given ratio 3/7 and the unknown x in the ratio 18/x. The proportion would look like this:

\( \frac{3}{7} = \frac{18}{x} \)

Next, cross multiply to solve for x:

3 \( \times \) x = 18 \( \times \) 7

Now, simplify the equation:

3x = 126

Then, divide both sides of the equation by 3 to get the value for x:

x = 126 / 3

x = 42

So, the solution to the proportion \( \frac{3}{7} = \frac{18}{x} \) is x = 42.