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Finding the Fourth Proportional to 3,963.75, 5,945.64 and 1,655.25

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Solution

The fourth proportional to 3,963.75, 5,945.64 and 1,655.25 is: 2,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.75 : 5,945.64 = 1,655.25 : x
  2. Step 2: Convert to fraction form
    3,963.75/5,945.64 = 1,655.25/x
  3. Step 3: Cross multiply
    3,963.75x = 5,945.64 × 1,655.25
  4. Step 4: Simplify right side
    3,963.75x = 9,841,520.61
  5. Step 5: Solve for x
    x = 9,841,520.61/3,963.75
  6. Step 6: Final answer
    x = 2,482.88

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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.