What does the proportion 0.6 over 1.1n over 8.47 equal?

Answer 1

Let's form the proportion:

0.6/1.1 = n/8.47 or

(6/10)/(11/10) = (n/1)/(847/100)

(6/10)(10/11) = (n/1)(100/847)

6/11 = 100n/847

Proportion is a statement that two ratios are equal. The value of n makes this proportion true. The numbers that form a proportion are called the term of proportion. There is a special relationship between the terms, called the cross products property. That is,

6/11 = 100n/847

(6)(847) = (11)(100n)

5082 = 1100n so, n must be a number that when multiply 1100 equals 5082.

5082/1100 = (1100/1100)n

4.62 = n So, the proportion is:

6/11 = [100(4.62)]/847

6/11 = 462/847 Or,

If you look at 847, you see that 11 x 77 = 847. So 100n must equals 6 x 77 = 462, in order to make the proportion true. So,

100n = 462

n = 4.62 and 100 x 4.62 = 462.

Thus the proportion is:

6/11 = 462/847

If you want the original proportion is,

0.6/1.1 = 4.62/8.47