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Finding the Fourth Proportional to 36,221.76, 54,328.80 and 9,929.28

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Solution

The fourth proportional to 36,221.76, 54,328.80 and 9,929.28 is: 14,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,221.76 : 54,328.80 = 9,929.28 : x
  2. Step 2: Convert to fraction form
    36,221.76/54,328.80 = 9,929.28/x
  3. Step 3: Cross multiply
    36,221.76x = 54,328.80 × 9,929.28
  4. Step 4: Simplify right side
    36,221.76x = 539,445,867.26
  5. Step 5: Solve for x
    x = 539,445,867.26/36,221.76
  6. Step 6: Final answer
    x = 14,892.87

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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.