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Finding the Fourth Proportional to 20,194.82, 30,297.02 and 6,343.82

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Solution

The fourth proportional to 20,194.82, 30,297.02 and 6,343.82 is: 9,517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.82 : 30,297.02 = 6,343.82 : x
  2. Step 2: Convert to fraction form
    20,194.82/30,297.02 = 6,343.82/x
  3. Step 3: Cross multiply
    20,194.82x = 30,297.02 × 6,343.82
  4. Step 4: Simplify right side
    20,194.82x = 192,198,841.42
  5. Step 5: Solve for x
    x = 192,198,841.42/20,194.82
  6. Step 6: Final answer
    x = 9,517.23

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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.