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Finding the Fourth Proportional to 20,330.38, 30,498 and 7,180.06

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Solution

The fourth proportional to 20,330.38, 30,498 and 7,180.06 is: 10,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,330.38 : 30,498 = 7,180.06 : x
  2. Step 2: Convert to fraction form
    20,330.38/30,498 = 7,180.06/x
  3. Step 3: Cross multiply
    20,330.38x = 30,498 × 7,180.06
  4. Step 4: Simplify right side
    20,330.38x = 218,977,469.88
  5. Step 5: Solve for x
    x = 218,977,469.88/20,330.38
  6. Step 6: Final answer
    x = 10,770.95

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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.