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Finding the Fourth Proportional to 8,311.38, 12,469.05 and 4,414.92

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Solution

The fourth proportional to 8,311.38, 12,469.05 and 4,414.92 is: 6,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.38 : 12,469.05 = 4,414.92 : x
  2. Step 2: Convert to fraction form
    8,311.38/12,469.05 = 4,414.92/x
  3. Step 3: Cross multiply
    8,311.38x = 12,469.05 × 4,414.92
  4. Step 4: Simplify right side
    8,311.38x = 55,049,858.23
  5. Step 5: Solve for x
    x = 55,049,858.23/8,311.38
  6. Step 6: Final answer
    x = 6,623.43

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1.5x scale

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.