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Finding the Fourth Proportional to 3,963.64, 5,972.72 and 3,285.54

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Solution

The fourth proportional to 3,963.64, 5,972.72 and 3,285.54 is: 4,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.64 : 5,972.72 = 3,285.54 : x
  2. Step 2: Convert to fraction form
    3,963.64/5,972.72 = 3,285.54/x
  3. Step 3: Cross multiply
    3,963.64x = 5,972.72 × 3,285.54
  4. Step 4: Simplify right side
    3,963.64x = 19,623,610.47
  5. Step 5: Solve for x
    x = 19,623,610.47/3,963.64
  6. Step 6: Final answer
    x = 4,950.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.