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Finding the Fourth Proportional to 7,861.64, 11,766.82 and 5,781.12

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Solution

The fourth proportional to 7,861.64, 11,766.82 and 5,781.12 is: 8,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.64 : 11,766.82 = 5,781.12 : x
  2. Step 2: Convert to fraction form
    7,861.64/11,766.82 = 5,781.12/x
  3. Step 3: Cross multiply
    7,861.64x = 11,766.82 × 5,781.12
  4. Step 4: Simplify right side
    7,861.64x = 68,025,398.44
  5. Step 5: Solve for x
    x = 68,025,398.44/7,861.64
  6. Step 6: Final answer
    x = 8,652.83

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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.