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Finding the Fourth Proportional to 27,168.31, 40,747.80 and 7,178.02

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Solution

The fourth proportional to 27,168.31, 40,747.80 and 7,178.02 is: 10,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,168.31 : 40,747.80 = 7,178.02 : x
  2. Step 2: Convert to fraction form
    27,168.31/40,747.80 = 7,178.02/x
  3. Step 3: Cross multiply
    27,168.31x = 40,747.80 × 7,178.02
  4. Step 4: Simplify right side
    27,168.31x = 292,488,542.82
  5. Step 5: Solve for x
    x = 292,488,542.82/27,168.31
  6. Step 6: Final answer
    x = 10,765.80

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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.