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Finding the Fourth Proportional to 20,473.63, 30,691.01 and 8,001.66

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Solution

The fourth proportional to 20,473.63, 30,691.01 and 8,001.66 is: 11,994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.63 : 30,691.01 = 8,001.66 : x
  2. Step 2: Convert to fraction form
    20,473.63/30,691.01 = 8,001.66/x
  3. Step 3: Cross multiply
    20,473.63x = 30,691.01 × 8,001.66
  4. Step 4: Simplify right side
    20,473.63x = 245,578,833.61
  5. Step 5: Solve for x
    x = 245,578,833.61/20,473.63
  6. Step 6: Final answer
    x = 11,994.88

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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.