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Finding the Fourth Proportional to 3,941.49, 5,912.06 and 979.87

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Solution

The fourth proportional to 3,941.49, 5,912.06 and 979.87 is: 1,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.49 : 5,912.06 = 979.87 : x
  2. Step 2: Convert to fraction form
    3,941.49/5,912.06 = 979.87/x
  3. Step 3: Cross multiply
    3,941.49x = 5,912.06 × 979.87
  4. Step 4: Simplify right side
    3,941.49x = 5,793,052.68
  5. Step 5: Solve for x
    x = 5,793,052.68/3,941.49
  6. Step 6: Final answer
    x = 1,469.76

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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.