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Finding the Fourth Proportional to 10,708.80, 16,072.42 and 7,424.20

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Solution

The fourth proportional to 10,708.80, 16,072.42 and 7,424.20 is: 11,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.80 : 16,072.42 = 7,424.20 : x
  2. Step 2: Convert to fraction form
    10,708.80/16,072.42 = 7,424.20/x
  3. Step 3: Cross multiply
    10,708.80x = 16,072.42 × 7,424.20
  4. Step 4: Simplify right side
    10,708.80x = 119,324,785.61
  5. Step 5: Solve for x
    x = 119,324,785.61/10,708.80
  6. Step 6: Final answer
    x = 11,142.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.