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Finding the Fourth Proportional to 8,276.50, 12,414.78 and 7,861.24

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Solution

The fourth proportional to 8,276.50, 12,414.78 and 7,861.24 is: 11,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.50 : 12,414.78 = 7,861.24 : x
  2. Step 2: Convert to fraction form
    8,276.50/12,414.78 = 7,861.24/x
  3. Step 3: Cross multiply
    8,276.50x = 12,414.78 × 7,861.24
  4. Step 4: Simplify right side
    8,276.50x = 97,595,565.13
  5. Step 5: Solve for x
    x = 97,595,565.13/8,276.50
  6. Step 6: Final answer
    x = 11,791.89

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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.