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Finding the Fourth Proportional to 3,257.92, 4,887.69 and 949.42

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Solution

The fourth proportional to 3,257.92, 4,887.69 and 949.42 is: 1,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.92 : 4,887.69 = 949.42 : x
  2. Step 2: Convert to fraction form
    3,257.92/4,887.69 = 949.42/x
  3. Step 3: Cross multiply
    3,257.92x = 4,887.69 × 949.42
  4. Step 4: Simplify right side
    3,257.92x = 4,640,470.64
  5. Step 5: Solve for x
    x = 4,640,470.64/3,257.92
  6. Step 6: Final answer
    x = 1,424.37

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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.