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Finding the Fourth Proportional to 2,687.50, 4,031.25 and 956.13

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Solution

The fourth proportional to 2,687.50, 4,031.25 and 956.13 is: 1,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.50 : 4,031.25 = 956.13 : x
  2. Step 2: Convert to fraction form
    2,687.50/4,031.25 = 956.13/x
  3. Step 3: Cross multiply
    2,687.50x = 4,031.25 × 956.13
  4. Step 4: Simplify right side
    2,687.50x = 3,854,399.06
  5. Step 5: Solve for x
    x = 3,854,399.06/2,687.50
  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.