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Finding the Fourth Proportional to 20,019.78, 30,031.20 and 6,872.04

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Solution

The fourth proportional to 20,019.78, 30,031.20 and 6,872.04 is: 10,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,019.78 : 30,031.20 = 6,872.04 : x
  2. Step 2: Convert to fraction form
    20,019.78/30,031.20 = 6,872.04/x
  3. Step 3: Cross multiply
    20,019.78x = 30,031.20 × 6,872.04
  4. Step 4: Simplify right side
    20,019.78x = 206,375,607.65
  5. Step 5: Solve for x
    x = 206,375,607.65/20,019.78
  6. Step 6: Final answer
    x = 10,308.59

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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.