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Finding the Fourth Proportional to 2,679.54, 3,691.86 and 2,004.54

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Solution

The fourth proportional to 2,679.54, 3,691.86 and 2,004.54 is: 2,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.54 : 3,691.86 = 2,004.54 : x
  2. Step 2: Convert to fraction form
    2,679.54/3,691.86 = 2,004.54/x
  3. Step 3: Cross multiply
    2,679.54x = 3,691.86 × 2,004.54
  4. Step 4: Simplify right side
    2,679.54x = 7,400,481.04
  5. Step 5: Solve for x
    x = 7,400,481.04/2,679.54
  6. Step 6: Final answer
    x = 2,761.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.