Question 22

The missing value in the ratio and proportion is 1.5.

To find the missing value in the proportion 15:2000::x:200, we can set up a cross-multiplication equation. Solving for x gives us 1.5.

A) 1.5

This option is correct because when we cross-multiply the proportion 15/2000 = x/200, we find that x equals 1.5. This solution accurately maintains the proportional relationship defined in the question.

B) 7.777

This option is incorrect as it does not satisfy the proportional relationship established in the ratio. If we substitute x with 7.777 and perform the cross-multiplication, the equality does not hold, indicating that this value does not fit the ratio.

C) 0.15

This option is also incorrect. Substituting 0.15 for x in the proportion would lead to a significant discrepancy when cross-multiplying the values, failing to maintain the required ratio. Therefore, it does not represent the missing value.

D) 15

This option is incorrect because it would imply a proportion that is not equivalent to the original ratio. Substituting 15 for x would lead to a cross-multiplication that does not satisfy the equality, indicating that 15 cannot be the missing value in this context.

Conclusion

The correct answer is 1.5, as it maintains the proportional relationship required in the ratio 15:2000::x:200. All other options fail to fulfill this requirement, either resulting in incorrect calculations or mismatched ratios. Thus, 1.5 is definitively the only value that accurately completes the proportion.