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Finding the Fourth Proportional to 22,909.87, 34,358.40 and 8,114.81

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Solution

The fourth proportional to 22,909.87, 34,358.40 and 8,114.81 is: 12,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.87 : 34,358.40 = 8,114.81 : x
  2. Step 2: Convert to fraction form
    22,909.87/34,358.40 = 8,114.81/x
  3. Step 3: Cross multiply
    22,909.87x = 34,358.40 × 8,114.81
  4. Step 4: Simplify right side
    22,909.87x = 278,811,887.90
  5. Step 5: Solve for x
    x = 278,811,887.90/22,909.87
  6. Step 6: Final answer
    x = 12,169.95

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