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Finding the Fourth Proportional to 20,488, 30,732.80 and 8,793.12

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Solution

The fourth proportional to 20,488, 30,732.80 and 8,793.12 is: 13,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488 : 30,732.80 = 8,793.12 : x
  2. Step 2: Convert to fraction form
    20,488/30,732.80 = 8,793.12/x
  3. Step 3: Cross multiply
    20,488x = 30,732.80 × 8,793.12
  4. Step 4: Simplify right side
    20,488x = 270,237,198.34
  5. Step 5: Solve for x
    x = 270,237,198.34/20,488
  6. Step 6: Final answer
    x = 13,190.02

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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.