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Finding the Fourth Proportional to 10,920.39, 16,381.20 and 3,129

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Solution

The fourth proportional to 10,920.39, 16,381.20 and 3,129 is: 4,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.39 : 16,381.20 = 3,129 : x
  2. Step 2: Convert to fraction form
    10,920.39/16,381.20 = 3,129/x
  3. Step 3: Cross multiply
    10,920.39x = 16,381.20 × 3,129
  4. Step 4: Simplify right side
    10,920.39x = 51,256,774.80
  5. Step 5: Solve for x
    x = 51,256,774.80/10,920.39
  6. Step 6: Final answer
    x = 4,693.68

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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.