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Finding the Fourth Proportional to 8,468.86, 12,711.04 and 4,311.74

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Solution

The fourth proportional to 8,468.86, 12,711.04 and 4,311.74 is: 6,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.86 : 12,711.04 = 4,311.74 : x
  2. Step 2: Convert to fraction form
    8,468.86/12,711.04 = 4,311.74/x
  3. Step 3: Cross multiply
    8,468.86x = 12,711.04 × 4,311.74
  4. Step 4: Simplify right side
    8,468.86x = 54,806,709.11
  5. Step 5: Solve for x
    x = 54,806,709.11/8,468.86
  6. Step 6: Final answer
    x = 6,471.56

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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.