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Finding the Fourth Proportional to 15,983.28, 23,978.97 and 6,123.42

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Solution

The fourth proportional to 15,983.28, 23,978.97 and 6,123.42 is: 9,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,983.28 : 23,978.97 = 6,123.42 : x
  2. Step 2: Convert to fraction form
    15,983.28/23,978.97 = 6,123.42/x
  3. Step 3: Cross multiply
    15,983.28x = 23,978.97 × 6,123.42
  4. Step 4: Simplify right side
    15,983.28x = 146,833,304.48
  5. Step 5: Solve for x
    x = 146,833,304.48/15,983.28
  6. Step 6: Final answer
    x = 9,186.68

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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.