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Finding the Fourth Proportional to 3,403.87, 5,102.17 and 1,939.87

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Solution

The fourth proportional to 3,403.87, 5,102.17 and 1,939.87 is: 2,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.87 : 5,102.17 = 1,939.87 : x
  2. Step 2: Convert to fraction form
    3,403.87/5,102.17 = 1,939.87/x
  3. Step 3: Cross multiply
    3,403.87x = 5,102.17 × 1,939.87
  4. Step 4: Simplify right side
    3,403.87x = 9,897,536.19
  5. Step 5: Solve for x
    x = 9,897,536.19/3,403.87
  6. Step 6: Final answer
    x = 2,907.73

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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.