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Finding the Fourth Proportional to 8,681.96, 13,034.46 and 8,382.44

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Solution

The fourth proportional to 8,681.96, 13,034.46 and 8,382.44 is: 12,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.96 : 13,034.46 = 8,382.44 : x
  2. Step 2: Convert to fraction form
    8,681.96/13,034.46 = 8,382.44/x
  3. Step 3: Cross multiply
    8,681.96x = 13,034.46 × 8,382.44
  4. Step 4: Simplify right side
    8,681.96x = 109,260,578.88
  5. Step 5: Solve for x
    x = 109,260,578.88/8,681.96
  6. Step 6: Final answer
    x = 12,584.78

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1.5x scale

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.