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Finding the Fourth Proportional to 7,150.52, 9,867.41 and 3,963.80

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Solution

The fourth proportional to 7,150.52, 9,867.41 and 3,963.80 is: 5,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.52 : 9,867.41 = 3,963.80 : x
  2. Step 2: Convert to fraction form
    7,150.52/9,867.41 = 3,963.80/x
  3. Step 3: Cross multiply
    7,150.52x = 9,867.41 × 3,963.80
  4. Step 4: Simplify right side
    7,150.52x = 39,112,439.76
  5. Step 5: Solve for x
    x = 39,112,439.76/7,150.52
  6. Step 6: Final answer
    x = 5,469.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.