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Finding the Fourth Proportional to 3,296.38, 4,939.17 and 1,993.90

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Solution

The fourth proportional to 3,296.38, 4,939.17 and 1,993.90 is: 2,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.38 : 4,939.17 = 1,993.90 : x
  2. Step 2: Convert to fraction form
    3,296.38/4,939.17 = 1,993.90/x
  3. Step 3: Cross multiply
    3,296.38x = 4,939.17 × 1,993.90
  4. Step 4: Simplify right side
    3,296.38x = 9,848,211.06
  5. Step 5: Solve for x
    x = 9,848,211.06/3,296.38
  6. Step 6: Final answer
    x = 2,987.58

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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.