Two similar triangles are shown with dimensions in feet

What is the value of x?
Left side: 18ft. Bottom side: 12 ft
Left side: x ft. Bottom side: 4ft
What is the value of x?

To determine the value of x, we need to set up a proportion using the similar triangles. The ratio of the left side to the bottom side in the first triangle is 18:12, which simplifies to 3:2. The ratio of the left side to the bottom side in the second triangle is x:4.

Setting up the proportion:
3/2 = x/4

Cross multiplying:
2x = 3 * 4
2x = 12

Dividing both sides by 2:
x = 6

Therefore, the value of x is 6 feet.