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Finding the Fourth Proportional to 1,963.53, 2,709.69 and 1,067.28

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Solution

The fourth proportional to 1,963.53, 2,709.69 and 1,067.28 is: 1,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.53 : 2,709.69 = 1,067.28 : x
  2. Step 2: Convert to fraction form
    1,963.53/2,709.69 = 1,067.28/x
  3. Step 3: Cross multiply
    1,963.53x = 2,709.69 × 1,067.28
  4. Step 4: Simplify right side
    1,963.53x = 2,891,992.78
  5. Step 5: Solve for x
    x = 2,891,992.78/1,963.53
  6. Step 6: Final answer
    x = 1,472.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.