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Finding the Fourth Proportional to 20,472.86, 30,709.65 and 7,334.66

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Solution

The fourth proportional to 20,472.86, 30,709.65 and 7,334.66 is: 11,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.86 : 30,709.65 = 7,334.66 : x
  2. Step 2: Convert to fraction form
    20,472.86/30,709.65 = 7,334.66/x
  3. Step 3: Cross multiply
    20,472.86x = 30,709.65 × 7,334.66
  4. Step 4: Simplify right side
    20,472.86x = 225,244,841.47
  5. Step 5: Solve for x
    x = 225,244,841.47/20,472.86
  6. Step 6: Final answer
    x = 11,002.12

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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.