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Finding the Fourth Proportional to 10,712.53, 16,079.19 and 5,169.78

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Solution

The fourth proportional to 10,712.53, 16,079.19 and 5,169.78 is: 7,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.53 : 16,079.19 = 5,169.78 : x
  2. Step 2: Convert to fraction form
    10,712.53/16,079.19 = 5,169.78/x
  3. Step 3: Cross multiply
    10,712.53x = 16,079.19 × 5,169.78
  4. Step 4: Simplify right side
    10,712.53x = 83,125,874.88
  5. Step 5: Solve for x
    x = 83,125,874.88/10,712.53
  6. Step 6: Final answer
    x = 7,759.69

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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.