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Finding the Fourth Proportional to 20,473.86, 30,711.16 and 7,335.66

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Solution

The fourth proportional to 20,473.86, 30,711.16 and 7,335.66 is: 11,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.86 : 30,711.16 = 7,335.66 : x
  2. Step 2: Convert to fraction form
    20,473.86/30,711.16 = 7,335.66/x
  3. Step 3: Cross multiply
    20,473.86x = 30,711.16 × 7,335.66
  4. Step 4: Simplify right side
    20,473.86x = 225,286,627.97
  5. Step 5: Solve for x
    x = 225,286,627.97/20,473.86
  6. Step 6: Final answer
    x = 11,003.62

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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.