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Finding the Fourth Proportional to 8,654.16, 12,982.22 and 2,731.89

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Solution

The fourth proportional to 8,654.16, 12,982.22 and 2,731.89 is: 4,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.16 : 12,982.22 = 2,731.89 : x
  2. Step 2: Convert to fraction form
    8,654.16/12,982.22 = 2,731.89/x
  3. Step 3: Cross multiply
    8,654.16x = 12,982.22 × 2,731.89
  4. Step 4: Simplify right side
    8,654.16x = 35,466,042.26
  5. Step 5: Solve for x
    x = 35,466,042.26/8,654.16
  6. Step 6: Final answer
    x = 4,098.15

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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.