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Finding the Fourth Proportional to 3,976.90, 5,978.85 and 3,251.74

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Solution

The fourth proportional to 3,976.90, 5,978.85 and 3,251.74 is: 4,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.90 : 5,978.85 = 3,251.74 : x
  2. Step 2: Convert to fraction form
    3,976.90/5,978.85 = 3,251.74/x
  3. Step 3: Cross multiply
    3,976.90x = 5,978.85 × 3,251.74
  4. Step 4: Simplify right side
    3,976.90x = 19,441,665.70
  5. Step 5: Solve for x
    x = 19,441,665.70/3,976.90
  6. Step 6: Final answer
    x = 4,888.65

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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.