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Finding the Fourth Proportional to 20,042.78, 30,057.08 and 6,892.02

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Solution

The fourth proportional to 20,042.78, 30,057.08 and 6,892.02 is: 10,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042.78 : 30,057.08 = 6,892.02 : x
  2. Step 2: Convert to fraction form
    20,042.78/30,057.08 = 6,892.02/x
  3. Step 3: Cross multiply
    20,042.78x = 30,057.08 × 6,892.02
  4. Step 4: Simplify right side
    20,042.78x = 207,153,962.04
  5. Step 5: Solve for x
    x = 207,153,962.04/20,042.78
  6. Step 6: Final answer
    x = 10,335.59

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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.