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Finding the Fourth Proportional to 3,404.87, 5,107.20 and 939.84

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Solution

The fourth proportional to 3,404.87, 5,107.20 and 939.84 is: 1,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.87 : 5,107.20 = 939.84 : x
  2. Step 2: Convert to fraction form
    3,404.87/5,107.20 = 939.84/x
  3. Step 3: Cross multiply
    3,404.87x = 5,107.20 × 939.84
  4. Step 4: Simplify right side
    3,404.87x = 4,799,950.85
  5. Step 5: Solve for x
    x = 4,799,950.85/3,404.87
  6. Step 6: Final answer
    x = 1,409.73

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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.