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Finding the Fourth Proportional to 8,643.78, 12,957.24 and 4,691.46

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Solution

The fourth proportional to 8,643.78, 12,957.24 and 4,691.46 is: 7,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.78 : 12,957.24 = 4,691.46 : x
  2. Step 2: Convert to fraction form
    8,643.78/12,957.24 = 4,691.46/x
  3. Step 3: Cross multiply
    8,643.78x = 12,957.24 × 4,691.46
  4. Step 4: Simplify right side
    8,643.78x = 60,788,373.17
  5. Step 5: Solve for x
    x = 60,788,373.17/8,643.78
  6. Step 6: Final answer
    x = 7,032.61

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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.