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Finding the Fourth Proportional to 2,687.80, 4,031.42 and 956.20

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Solution

The fourth proportional to 2,687.80, 4,031.42 and 956.20 is: 1,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.80 : 4,031.42 = 956.20 : x
  2. Step 2: Convert to fraction form
    2,687.80/4,031.42 = 956.20/x
  3. Step 3: Cross multiply
    2,687.80x = 4,031.42 × 956.20
  4. Step 4: Simplify right side
    2,687.80x = 3,854,843.80
  5. Step 5: Solve for x
    x = 3,854,843.80/2,687.80
  6. Step 6: Final answer
    x = 1,434.20

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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.