The 1st 3 terms of a proportion are 3, 9 and 12. The 4th term is:A. 18B. 24C. 30D. 36
Question
The 1st 3 terms of a proportion are 3, 9 and 12. The 4th term is:A. 18B. 24C. 30D. 36
Solution 1
In a proportion, the product of the first and fourth terms is equal to the product of the second and third terms. This is expressed as a/b = c/d, where a, b, c, and d are the four terms in order.
In this case, we know that a = 3, b = 9, and c = 12. We're trying to find d.
So, we set up the equation 3/d = 9/12.
To solve for d, we cross-multiply to get 312 = 9d.
This simplifies to 36 = 9d.
Finally, we divide both sides by 9 to solve for d, which gives us d = 36/9 = 4.
However, none of the options A, B, C, or D match this answer. There might be a mistake in the question or the options provided.
Solution 2
In a proportion, the product of the first and fourth terms is equal to the product of the second and third terms. This is expressed as a/b = c/d, where a, b, c, and d are the four terms in order.
In this case, we know that a = 3, b = 9, and c = 12. We're trying to find d.
So, we set up the equation 3/d = 9/12.
To solve for d, we cross-multiply and get 312 = 9d.
This simplifies to 36 = 9d.
Finally, we divide both sides by 9 to solve for d, and we get d = 4.
So, the fourth term of the proportion is 4. However, this option is not given in the choices. There might be a mistake in the question or the given options.
Solution 3
In a proportion, the product of the first and fourth terms is equal to the product of the second and third terms. This is expressed as a/b = c/d, where a, b, c, and d are the four terms in order.
In this case, we know that a = 3, b = 9, and c = 12. We're trying to find d.
So, we set up the equation 3/d = 9/12.
To solve for d, we cross-multiply to get 312 = 9d, or 36 = 9d.
Finally, we divide both sides by 9 to get d = 36/9 = 4.
However, none of the options (A. 18, B. 24, C. 30, D. 36) match this answer.
It seems there might be a mistake in the question or the answer choices.
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