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Finding the Fourth Proportional to 34,711.20, 52,066.80 and 8,415.90

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Solution

The fourth proportional to 34,711.20, 52,066.80 and 8,415.90 is: 12,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,711.20 : 52,066.80 = 8,415.90 : x
  2. Step 2: Convert to fraction form
    34,711.20/52,066.80 = 8,415.90/x
  3. Step 3: Cross multiply
    34,711.20x = 52,066.80 × 8,415.90
  4. Step 4: Simplify right side
    34,711.20x = 438,188,982.12
  5. Step 5: Solve for x
    x = 438,188,982.12/34,711.20
  6. Step 6: Final answer
    x = 12,623.85

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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.