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Finding the Fourth Proportional to 8,509.13, 12,731.62 and 7,645.85

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Solution

The fourth proportional to 8,509.13, 12,731.62 and 7,645.85 is: 11,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.13 : 12,731.62 = 7,645.85 : x
  2. Step 2: Convert to fraction form
    8,509.13/12,731.62 = 7,645.85/x
  3. Step 3: Cross multiply
    8,509.13x = 12,731.62 × 7,645.85
  4. Step 4: Simplify right side
    8,509.13x = 97,344,056.78
  5. Step 5: Solve for x
    x = 97,344,056.78/8,509.13
  6. Step 6: Final answer
    x = 11,439.95

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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.