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Finding the Fourth Proportional to 8,591.64, 11,847.11 and 7,462.91

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Solution

The fourth proportional to 8,591.64, 11,847.11 and 7,462.91 is: 10,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.64 : 11,847.11 = 7,462.91 : x
  2. Step 2: Convert to fraction form
    8,591.64/11,847.11 = 7,462.91/x
  3. Step 3: Cross multiply
    8,591.64x = 11,847.11 × 7,462.91
  4. Step 4: Simplify right side
    8,591.64x = 88,413,819.14
  5. Step 5: Solve for x
    x = 88,413,819.14/8,591.64
  6. Step 6: Final answer
    x = 10,290.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.