Which of the following given set is in direct proportion?Options:14,28,312,72839,812,621,193828,1248,25100,3876612,715,918,824

To determine which set is in direct proportion, we need to check if the ratio of the first two numbers is the same as the ratio of the last two numbers.

1. For the first set: 14, 28, 312, 728 The ratio of 14 to 28 is 1:2, and the ratio of 312 to 728 is approximately 0.43:1. These ratios are not the same, so this set is not in direct proportion.

2. For the second set: 39, 812, 621, 1938 The ratio of 39 to 812 is approximately 0.048:1, and the ratio of 621 to 1938 is approximately 0.32:1. These ratios are not the same, so this set is not in direct proportion.

3. For the third set: 28, 1248, 25, 100 The ratio of 28 to 1248 is approximately 0.022:1, and the ratio of 25 to 100 is 0.25:1. These ratios are not the same, so this set is not in direct proportion.

4. For the fourth set: 3876, 612, 715, 918, 824 This set has five numbers, so it's not clear which pairs of numbers to compare. However, none of the ratios between consecutive numbers are the same, so this set is not in direct proportion.

Therefore, none of the given sets are in direct proportion.