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apologiabiology

lets say you have x:y=z:t
the means are y and z
the extremes are x and t
we have
1:2=4:8
means=2 and 4
extrememes=1 and 8
product of means=2 times 4=8
the product of extremes=1 times 8=8

the answer is 8

Answer:

Cross Products Property of Proportions states that the product of the means is equal to the product of extremes.

i,e \(a : b : : c : d\)

Also, in the proportion the first (a) and the last terms(d) are called the extremes, whereas the second(b) and the third terms(c) are called the means.

Given the proportion:

\(1 : 2 = 4 : 8\)

First term = 1

Second term = 2

Third term = 4

Fourth term = 8

By definition;

The product of means = \(1 \times 8 = 8\)

The product of extremes =  \(2 \times 4 = 8\)

Therefore, the product of both the means and the extremes is, 8

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