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Finding the Fourth Proportional to 20,480.31, 30,723.71 and 7,332.39

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Solution

The fourth proportional to 20,480.31, 30,723.71 and 7,332.39 is: 10,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,480.31 : 30,723.71 = 7,332.39 : x
  2. Step 2: Convert to fraction form
    20,480.31/30,723.71 = 7,332.39/x
  3. Step 3: Cross multiply
    20,480.31x = 30,723.71 × 7,332.39
  4. Step 4: Simplify right side
    20,480.31x = 225,278,187.30
  5. Step 5: Solve for x
    x = 225,278,187.30/20,480.31
  6. Step 6: Final answer
    x = 10,999.74

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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.