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Finding the Fourth Proportional to 8,568.78, 12,867.12 and 5,302.68

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Solution

The fourth proportional to 8,568.78, 12,867.12 and 5,302.68 is: 7,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.78 : 12,867.12 = 5,302.68 : x
  2. Step 2: Convert to fraction form
    8,568.78/12,867.12 = 5,302.68/x
  3. Step 3: Cross multiply
    8,568.78x = 12,867.12 × 5,302.68
  4. Step 4: Simplify right side
    8,568.78x = 68,230,219.88
  5. Step 5: Solve for x
    x = 68,230,219.88/8,568.78
  6. Step 6: Final answer
    x = 7,962.65

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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.