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Finding the Fourth Proportional to 20,344, 30,516.18 and 7,198.60

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Solution

The fourth proportional to 20,344, 30,516.18 and 7,198.60 is: 10,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,344 : 30,516.18 = 7,198.60 : x
  2. Step 2: Convert to fraction form
    20,344/30,516.18 = 7,198.60/x
  3. Step 3: Cross multiply
    20,344x = 30,516.18 × 7,198.60
  4. Step 4: Simplify right side
    20,344x = 219,673,773.35
  5. Step 5: Solve for x
    x = 219,673,773.35/20,344
  6. Step 6: Final answer
    x = 10,797.96

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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.