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Finding the Fourth Proportional to 3,212.98, 4,819.78 and 1,338.48

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Solution

The fourth proportional to 3,212.98, 4,819.78 and 1,338.48 is: 2,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.98 : 4,819.78 = 1,338.48 : x
  2. Step 2: Convert to fraction form
    3,212.98/4,819.78 = 1,338.48/x
  3. Step 3: Cross multiply
    3,212.98x = 4,819.78 × 1,338.48
  4. Step 4: Simplify right side
    3,212.98x = 6,451,179.13
  5. Step 5: Solve for x
    x = 6,451,179.13/3,212.98
  6. Step 6: Final answer
    x = 2,007.85

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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.