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Finding the Fourth Proportional to 3,879, 5,353.38 and 2,223

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Solution

The fourth proportional to 3,879, 5,353.38 and 2,223 is: 3,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879 : 5,353.38 = 2,223 : x
  2. Step 2: Convert to fraction form
    3,879/5,353.38 = 2,223/x
  3. Step 3: Cross multiply
    3,879x = 5,353.38 × 2,223
  4. Step 4: Simplify right side
    3,879x = 11,900,563.74
  5. Step 5: Solve for x
    x = 11,900,563.74/3,879
  6. Step 6: Final answer
    x = 3,067.95

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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.