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Finding the Fourth Proportional to 10,647.64, 15,957.42 and 8,174.44

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Solution

The fourth proportional to 10,647.64, 15,957.42 and 8,174.44 is: 12,250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.64 : 15,957.42 = 8,174.44 : x
  2. Step 2: Convert to fraction form
    10,647.64/15,957.42 = 8,174.44/x
  3. Step 3: Cross multiply
    10,647.64x = 15,957.42 × 8,174.44
  4. Step 4: Simplify right side
    10,647.64x = 130,442,972.34
  5. Step 5: Solve for x
    x = 130,442,972.34/10,647.64
  6. Step 6: Final answer
    x = 12,250.88

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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.