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Finding the Fourth Proportional to 20,652.44, 30,976.02 and 6,613.92

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Solution

The fourth proportional to 20,652.44, 30,976.02 and 6,613.92 is: 9,920.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652.44 : 30,976.02 = 6,613.92 : x
  2. Step 2: Convert to fraction form
    20,652.44/30,976.02 = 6,613.92/x
  3. Step 3: Cross multiply
    20,652.44x = 30,976.02 × 6,613.92
  4. Step 4: Simplify right side
    20,652.44x = 204,872,918.20
  5. Step 5: Solve for x
    x = 204,872,918.20/20,652.44
  6. Step 6: Final answer
    x = 9,920.04

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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.