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Finding the Fourth Proportional to 3,974.46, 5,961.69 and 1,377.42

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Solution

The fourth proportional to 3,974.46, 5,961.69 and 1,377.42 is: 2,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.46 : 5,961.69 = 1,377.42 : x
  2. Step 2: Convert to fraction form
    3,974.46/5,961.69 = 1,377.42/x
  3. Step 3: Cross multiply
    3,974.46x = 5,961.69 × 1,377.42
  4. Step 4: Simplify right side
    3,974.46x = 8,211,751.04
  5. Step 5: Solve for x
    x = 8,211,751.04/3,974.46
  6. Step 6: Final answer
    x = 2,066.13

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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.