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Finding the Fourth Proportional to 15,815.92, 23,723.34 and 7,499.92

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Solution

The fourth proportional to 15,815.92, 23,723.34 and 7,499.92 is: 11,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.92 : 23,723.34 = 7,499.92 : x
  2. Step 2: Convert to fraction form
    15,815.92/23,723.34 = 7,499.92/x
  3. Step 3: Cross multiply
    15,815.92x = 23,723.34 × 7,499.92
  4. Step 4: Simplify right side
    15,815.92x = 177,923,152.13
  5. Step 5: Solve for x
    x = 177,923,152.13/15,815.92
  6. Step 6: Final answer
    x = 11,249.62

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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.