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Finding the Fourth Proportional to 8,568.44, 12,850.08 and 3,638

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Solution

The fourth proportional to 8,568.44, 12,850.08 and 3,638 is: 5,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.44 : 12,850.08 = 3,638 : x
  2. Step 2: Convert to fraction form
    8,568.44/12,850.08 = 3,638/x
  3. Step 3: Cross multiply
    8,568.44x = 12,850.08 × 3,638
  4. Step 4: Simplify right side
    8,568.44x = 46,748,591.04
  5. Step 5: Solve for x
    x = 46,748,591.04/8,568.44
  6. Step 6: Final answer
    x = 5,455.90

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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.