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Finding the Fourth Proportional to 2,643.10, 3,963.46 and 998.48

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Solution

The fourth proportional to 2,643.10, 3,963.46 and 998.48 is: 1,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.10 : 3,963.46 = 998.48 : x
  2. Step 2: Convert to fraction form
    2,643.10/3,963.46 = 998.48/x
  3. Step 3: Cross multiply
    2,643.10x = 3,963.46 × 998.48
  4. Step 4: Simplify right side
    2,643.10x = 3,957,435.54
  5. Step 5: Solve for x
    x = 3,957,435.54/2,643.10
  6. Step 6: Final answer
    x = 1,497.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.