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Finding the Fourth Proportional to 1,963.38, 2,691.90 and 1,928.31

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Solution

The fourth proportional to 1,963.38, 2,691.90 and 1,928.31 is: 2,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.38 : 2,691.90 = 1,928.31 : x
  2. Step 2: Convert to fraction form
    1,963.38/2,691.90 = 1,928.31/x
  3. Step 3: Cross multiply
    1,963.38x = 2,691.90 × 1,928.31
  4. Step 4: Simplify right side
    1,963.38x = 5,190,817.69
  5. Step 5: Solve for x
    x = 5,190,817.69/1,963.38
  6. Step 6: Final answer
    x = 2,643.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.