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Finding the Fourth Proportional to 20,560.80, 30,843.36 and 6,708

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Solution

The fourth proportional to 20,560.80, 30,843.36 and 6,708 is: 10,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560.80 : 30,843.36 = 6,708 : x
  2. Step 2: Convert to fraction form
    20,560.80/30,843.36 = 6,708/x
  3. Step 3: Cross multiply
    20,560.80x = 30,843.36 × 6,708
  4. Step 4: Simplify right side
    20,560.80x = 206,897,258.88
  5. Step 5: Solve for x
    x = 206,897,258.88/20,560.80
  6. Step 6: Final answer
    x = 10,062.70

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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.