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Finding the Fourth Proportional to 3,951.97, 5,930.39 and 2,198.32

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Solution

The fourth proportional to 3,951.97, 5,930.39 and 2,198.32 is: 3,298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.97 : 5,930.39 = 2,198.32 : x
  2. Step 2: Convert to fraction form
    3,951.97/5,930.39 = 2,198.32/x
  3. Step 3: Cross multiply
    3,951.97x = 5,930.39 × 2,198.32
  4. Step 4: Simplify right side
    3,951.97x = 13,036,894.94
  5. Step 5: Solve for x
    x = 13,036,894.94/3,951.97
  6. Step 6: Final answer
    x = 3,298.83

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1.5x scale

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.