Proportions

[KWF]

Display the numbers 27, 18, 26, and 39 so as to form a proportion.

Explain how the answer is determined.

 

[Deleted member 4993]

Display the numbers 27, 18, 26, and 39 so as to form a proportion.

Explain how the answer is determined.

Hint:

26 and 39 has common factor/s, and 18 and 27 has common factor/s

 

[KWF]

Hint:

26 and 39 has common factor/s, and 18 and 27 has common factor/s

There are two possible solutions:

18/26 = 27/39

18/26 = 9/13 - Divide both terms by 2.

27/39 = 9/13 - Divide both terms by 3



18/27 = 26/39


18/27 = 2/3 - Divide both terms by 9.

26/39 = 2/3 - Divide both terms by 13.


I still do not know how to find either solution in a logical mathematical manner.