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Finding the Fourth Proportional to 3,978.42, 5,960.25 and 2,001.75

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Solution

The fourth proportional to 3,978.42, 5,960.25 and 2,001.75 is: 2,998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.42 : 5,960.25 = 2,001.75 : x
  2. Step 2: Convert to fraction form
    3,978.42/5,960.25 = 2,001.75/x
  3. Step 3: Cross multiply
    3,978.42x = 5,960.25 × 2,001.75
  4. Step 4: Simplify right side
    3,978.42x = 11,930,930.44
  5. Step 5: Solve for x
    x = 11,930,930.44/3,978.42
  6. Step 6: Final answer
    x = 2,998.91

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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.