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Finding the Fourth Proportional to 8,654.24, 12,981.36 and 6,815.14

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Solution

The fourth proportional to 8,654.24, 12,981.36 and 6,815.14 is: 10,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.24 : 12,981.36 = 6,815.14 : x
  2. Step 2: Convert to fraction form
    8,654.24/12,981.36 = 6,815.14/x
  3. Step 3: Cross multiply
    8,654.24x = 12,981.36 × 6,815.14
  4. Step 4: Simplify right side
    8,654.24x = 88,469,778.89
  5. Step 5: Solve for x
    x = 88,469,778.89/8,654.24
  6. Step 6: Final answer
    x = 10,222.71

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Similar ratio
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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.