What is the last (x) term of the proportion 8:4 = 26:x?

What is the last (x) term of the proportion 8:4 = 26:x?

• A. 2
• B. 11
• C. 10
• D. 13

Answer: (D)

To solve the proportion 8:4 = 26:x, you can cross-multiply to find the value of x. This means you multiply the means and the extremes of the proportion: 8 * x = 4 * 26. This simplifies to: 8x = 104. Now, to find x, divide both sides by 8: x = 104 / 8, x = 13. Thus, the last term of the proportion is 13. This approach is consistent with the rules of proportions which state that the product of the means equals the product of the extremes. The correct process confirms the relationship and validates the final answer as being 13.

To solve the proportion 8:4 = 26:x, you can cross-multiply to find the value of x. This means you multiply the means and the extremes of the proportion:

8 * x = 4 * 26.

This simplifies to:

8x = 104.

Now, to find x, divide both sides by 8:

x = 104 / 8,

x = 13.

Thus, the last term of the proportion is 13. This approach is consistent with the rules of proportions which state that the product of the means equals the product of the extremes. The correct process confirms the relationship and validates the final answer as being 13.