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Finding the Fourth Proportional to 8,531.26, 12,697.49 and 8,449.18

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Solution

The fourth proportional to 8,531.26, 12,697.49 and 8,449.18 is: 12,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.26 : 12,697.49 = 8,449.18 : x
  2. Step 2: Convert to fraction form
    8,531.26/12,697.49 = 8,449.18/x
  3. Step 3: Cross multiply
    8,531.26x = 12,697.49 × 8,449.18
  4. Step 4: Simplify right side
    8,531.26x = 107,283,378.56
  5. Step 5: Solve for x
    x = 107,283,378.56/8,531.26
  6. Step 6: Final answer
    x = 12,575.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.