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Finding the Fourth Proportional to 22,086, 33,129 and 6,503.40

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Solution

The fourth proportional to 22,086, 33,129 and 6,503.40 is: 9,755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,086 : 33,129 = 6,503.40 : x
  2. Step 2: Convert to fraction form
    22,086/33,129 = 6,503.40/x
  3. Step 3: Cross multiply
    22,086x = 33,129 × 6,503.40
  4. Step 4: Simplify right side
    22,086x = 215,451,138.60
  5. Step 5: Solve for x
    x = 215,451,138.60/22,086
  6. Step 6: Final answer
    x = 9,755.10

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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.