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Finding the Fourth Proportional to 15,475.92, 23,148 and 9,221.64

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Solution

The fourth proportional to 15,475.92, 23,148 and 9,221.64 is: 13,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,475.92 : 23,148 = 9,221.64 : x
  2. Step 2: Convert to fraction form
    15,475.92/23,148 = 9,221.64/x
  3. Step 3: Cross multiply
    15,475.92x = 23,148 × 9,221.64
  4. Step 4: Simplify right side
    15,475.92x = 213,462,522.72
  5. Step 5: Solve for x
    x = 213,462,522.72/15,475.92
  6. Step 6: Final answer
    x = 13,793.20

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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.