I'm not understanding and writing the following proportion: 8 is to 64 as 2 is to x, can somebody explain how to solve this problem.

A survey indicated that 3 out of doctors used brand x aspirin. if 2000 doctors were surveyed, how many used brand X?

I need help understanding the problem of this math. Can somebody explain this to me.

Here's the first one.

8/64 = 2/x

Cross multiply.

8x = 128

Solve for x.

x = 128/8

x = 16

You haven't posted enough information to solve the second problem.

Solve for x 8 is to 64 as 2 is to x

A survey indicated that 3 out of 5 doctors use Brand X aspirin. If $2,000 were surveyed, how many used Brand X?

To understand and solve proportions, you can use a cross-multiplication method. Here's how you can solve the proportion: 8 is to 64 as 2 is to x.

1. Write the proportion: 8/64 = 2/x

2. Cross-multiply: Multiply the numerator of the first fraction (8) by the denominator of the second fraction (x) and vice versa. You get: 8x = 64 * 2 or 8x = 128.

3. Solve for x: To find the value of x, you divide both sides of the equation by 8: x = 128/8.

4. Simplify the division: 128/8 = 16.

Therefore, the value of x is 16. So the proportion 8 is to 64 as 2 is to 16.