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Finding the Fourth Proportional to 20,231.92, 30,347.88 and 6,382

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Solution

The fourth proportional to 20,231.92, 30,347.88 and 6,382 is: 9,573

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,231.92 : 30,347.88 = 6,382 : x
  2. Step 2: Convert to fraction form
    20,231.92/30,347.88 = 6,382/x
  3. Step 3: Cross multiply
    20,231.92x = 30,347.88 × 6,382
  4. Step 4: Simplify right side
    20,231.92x = 193,680,170.16
  5. Step 5: Solve for x
    x = 193,680,170.16/20,231.92
  6. Step 6: Final answer
    x = 9,573

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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.