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Finding the Fourth Proportional to 20,499, 30,740.02 and 7,169.20

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Solution

The fourth proportional to 20,499, 30,740.02 and 7,169.20 is: 10,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,499 : 30,740.02 = 7,169.20 : x
  2. Step 2: Convert to fraction form
    20,499/30,740.02 = 7,169.20/x
  3. Step 3: Cross multiply
    20,499x = 30,740.02 × 7,169.20
  4. Step 4: Simplify right side
    20,499x = 220,381,351.38
  5. Step 5: Solve for x
    x = 220,381,351.38/20,499
  6. Step 6: Final answer
    x = 10,750.83

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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.