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Finding the Fourth Proportional to 3,879.26, 5,822.32 and 2,125.88

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Solution

The fourth proportional to 3,879.26, 5,822.32 and 2,125.88 is: 3,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.26 : 5,822.32 = 2,125.88 : x
  2. Step 2: Convert to fraction form
    3,879.26/5,822.32 = 2,125.88/x
  3. Step 3: Cross multiply
    3,879.26x = 5,822.32 × 2,125.88
  4. Step 4: Simplify right side
    3,879.26x = 12,377,553.64
  5. Step 5: Solve for x
    x = 12,377,553.64/3,879.26
  6. Step 6: Final answer
    x = 3,190.70

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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.