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Finding the Fourth Proportional to 3,879, 5,354.10 and 2,637

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Solution

The fourth proportional to 3,879, 5,354.10 and 2,637 is: 3,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879 : 5,354.10 = 2,637 : x
  2. Step 2: Convert to fraction form
    3,879/5,354.10 = 2,637/x
  3. Step 3: Cross multiply
    3,879x = 5,354.10 × 2,637
  4. Step 4: Simplify right side
    3,879x = 14,118,761.70
  5. Step 5: Solve for x
    x = 14,118,761.70/3,879
  6. Step 6: Final answer
    x = 3,639.79

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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.