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Finding the Fourth Proportional to 1,963.98, 2,711.36 and 1,514.88

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Solution

The fourth proportional to 1,963.98, 2,711.36 and 1,514.88 is: 2,091.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.98 : 2,711.36 = 1,514.88 : x
  2. Step 2: Convert to fraction form
    1,963.98/2,711.36 = 1,514.88/x
  3. Step 3: Cross multiply
    1,963.98x = 2,711.36 × 1,514.88
  4. Step 4: Simplify right side
    1,963.98x = 4,107,377.46
  5. Step 5: Solve for x
    x = 4,107,377.46/1,963.98
  6. Step 6: Final answer
    x = 2,091.35

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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.