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Finding the Fourth Proportional to 13,737.84, 18,957.14 and 8,072.80

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Solution

The fourth proportional to 13,737.84, 18,957.14 and 8,072.80 is: 11,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.84 : 18,957.14 = 8,072.80 : x
  2. Step 2: Convert to fraction form
    13,737.84/18,957.14 = 8,072.80/x
  3. Step 3: Cross multiply
    13,737.84x = 18,957.14 × 8,072.80
  4. Step 4: Simplify right side
    13,737.84x = 153,037,142.31
  5. Step 5: Solve for x
    x = 153,037,142.31/13,737.84
  6. Step 6: Final answer
    x = 11,139.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.