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Finding the Fourth Proportional to 8,568, 12,851.97 and 2,725.08

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Solution

The fourth proportional to 8,568, 12,851.97 and 2,725.08 is: 4,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568 : 12,851.97 = 2,725.08 : x
  2. Step 2: Convert to fraction form
    8,568/12,851.97 = 2,725.08/x
  3. Step 3: Cross multiply
    8,568x = 12,851.97 × 2,725.08
  4. Step 4: Simplify right side
    8,568x = 35,022,646.41
  5. Step 5: Solve for x
    x = 35,022,646.41/8,568
  6. Step 6: Final answer
    x = 4,087.61

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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.