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Finding the Fourth Proportional to 3,229.63, 4,844.41 and 2,138.87

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Solution

The fourth proportional to 3,229.63, 4,844.41 and 2,138.87 is: 3,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.63 : 4,844.41 = 2,138.87 : x
  2. Step 2: Convert to fraction form
    3,229.63/4,844.41 = 2,138.87/x
  3. Step 3: Cross multiply
    3,229.63x = 4,844.41 × 2,138.87
  4. Step 4: Simplify right side
    3,229.63x = 10,361,552.52
  5. Step 5: Solve for x
    x = 10,361,552.52/3,229.63
  6. Step 6: Final answer
    x = 3,208.28

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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.