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Finding the Fourth Proportional to 8,490.38, 12,711.83 and 6,403.85

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Solution

The fourth proportional to 8,490.38, 12,711.83 and 6,403.85 is: 9,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.38 : 12,711.83 = 6,403.85 : x
  2. Step 2: Convert to fraction form
    8,490.38/12,711.83 = 6,403.85/x
  3. Step 3: Cross multiply
    8,490.38x = 12,711.83 × 6,403.85
  4. Step 4: Simplify right side
    8,490.38x = 81,404,652.55
  5. Step 5: Solve for x
    x = 81,404,652.55/8,490.38
  6. Step 6: Final answer
    x = 9,587.87

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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.