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Finding the Fourth Proportional to 2,642.36, 3,963.87 and 863.38

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Solution

The fourth proportional to 2,642.36, 3,963.87 and 863.38 is: 1,295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.36 : 3,963.87 = 863.38 : x
  2. Step 2: Convert to fraction form
    2,642.36/3,963.87 = 863.38/x
  3. Step 3: Cross multiply
    2,642.36x = 3,963.87 × 863.38
  4. Step 4: Simplify right side
    2,642.36x = 3,422,336.54
  5. Step 5: Solve for x
    x = 3,422,336.54/2,642.36
  6. Step 6: Final answer
    x = 1,295.18

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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.