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Finding the Fourth Proportional to 20,382.05, 30,505.03 and 11,614.61

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Solution

The fourth proportional to 20,382.05, 30,505.03 and 11,614.61 is: 17,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382.05 : 30,505.03 = 11,614.61 : x
  2. Step 2: Convert to fraction form
    20,382.05/30,505.03 = 11,614.61/x
  3. Step 3: Cross multiply
    20,382.05x = 30,505.03 × 11,614.61
  4. Step 4: Simplify right side
    20,382.05x = 354,304,026.49
  5. Step 5: Solve for x
    x = 354,304,026.49/20,382.05
  6. Step 6: Final answer
    x = 17,383.14

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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.