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Finding the Fourth Proportional to 3,879, 5,352.48 and 2,387.16

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Solution

The fourth proportional to 3,879, 5,352.48 and 2,387.16 is: 3,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879 : 5,352.48 = 2,387.16 : x
  2. Step 2: Convert to fraction form
    3,879/5,352.48 = 2,387.16/x
  3. Step 3: Cross multiply
    3,879x = 5,352.48 × 2,387.16
  4. Step 4: Simplify right side
    3,879x = 12,777,226.16
  5. Step 5: Solve for x
    x = 12,777,226.16/3,879
  6. Step 6: Final answer
    x = 3,293.95

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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.