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Finding the Fourth Proportional to 11,963.92, 17,945.64 and 5,385.46

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Solution

The fourth proportional to 11,963.92, 17,945.64 and 5,385.46 is: 8,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.92 : 17,945.64 = 5,385.46 : x
  2. Step 2: Convert to fraction form
    11,963.92/17,945.64 = 5,385.46/x
  3. Step 3: Cross multiply
    11,963.92x = 17,945.64 × 5,385.46
  4. Step 4: Simplify right side
    11,963.92x = 96,645,526.39
  5. Step 5: Solve for x
    x = 96,645,526.39/11,963.92
  6. Step 6: Final answer
    x = 8,078.08

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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.