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Finding the Fourth Proportional to 11,963.76, 17,945.36 and 3,198.48

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Solution

The fourth proportional to 11,963.76, 17,945.36 and 3,198.48 is: 4,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.76 : 17,945.36 = 3,198.48 : x
  2. Step 2: Convert to fraction form
    11,963.76/17,945.36 = 3,198.48/x
  3. Step 3: Cross multiply
    11,963.76x = 17,945.36 × 3,198.48
  4. Step 4: Simplify right side
    11,963.76x = 57,397,875.05
  5. Step 5: Solve for x
    x = 57,397,875.05/11,963.76
  6. Step 6: Final answer
    x = 4,797.65

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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.