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Finding the Fourth Proportional to 3,961.42, 5,942.10 and 1,039.68

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Solution

The fourth proportional to 3,961.42, 5,942.10 and 1,039.68 is: 1,559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.42 : 5,942.10 = 1,039.68 : x
  2. Step 2: Convert to fraction form
    3,961.42/5,942.10 = 1,039.68/x
  3. Step 3: Cross multiply
    3,961.42x = 5,942.10 × 1,039.68
  4. Step 4: Simplify right side
    3,961.42x = 6,177,882.53
  5. Step 5: Solve for x
    x = 6,177,882.53/3,961.42
  6. Step 6: Final answer
    x = 1,559.51

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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.