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Finding the Fourth Proportional to 15,321.92, 22,982.40 and 4,229.28

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Solution

The fourth proportional to 15,321.92, 22,982.40 and 4,229.28 is: 6,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,321.92 : 22,982.40 = 4,229.28 : x
  2. Step 2: Convert to fraction form
    15,321.92/22,982.40 = 4,229.28/x
  3. Step 3: Cross multiply
    15,321.92x = 22,982.40 × 4,229.28
  4. Step 4: Simplify right side
    15,321.92x = 97,199,004.67
  5. Step 5: Solve for x
    x = 97,199,004.67/15,321.92
  6. Step 6: Final answer
    x = 6,343.79

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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.