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Finding the Fourth Proportional to 20,475.64, 30,694 and 8,003.66

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Solution

The fourth proportional to 20,475.64, 30,694 and 8,003.66 is: 11,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.64 : 30,694 = 8,003.66 : x
  2. Step 2: Convert to fraction form
    20,475.64/30,694 = 8,003.66/x
  3. Step 3: Cross multiply
    20,475.64x = 30,694 × 8,003.66
  4. Step 4: Simplify right side
    20,475.64x = 245,664,340.04
  5. Step 5: Solve for x
    x = 245,664,340.04/20,475.64
  6. Step 6: Final answer
    x = 11,997.88

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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.