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Finding the Fourth Proportional to 8,687.50, 13,031.28 and 2,531.50

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Solution

The fourth proportional to 8,687.50, 13,031.28 and 2,531.50 is: 3,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687.50 : 13,031.28 = 2,531.50 : x
  2. Step 2: Convert to fraction form
    8,687.50/13,031.28 = 2,531.50/x
  3. Step 3: Cross multiply
    8,687.50x = 13,031.28 × 2,531.50
  4. Step 4: Simplify right side
    8,687.50x = 32,988,685.32
  5. Step 5: Solve for x
    x = 32,988,685.32/8,687.50
  6. Step 6: Final answer
    x = 3,797.26

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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.