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Finding the Fourth Proportional to 8,578.96, 12,869.36 and 2,734.20

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Solution

The fourth proportional to 8,578.96, 12,869.36 and 2,734.20 is: 4,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.96 : 12,869.36 = 2,734.20 : x
  2. Step 2: Convert to fraction form
    8,578.96/12,869.36 = 2,734.20/x
  3. Step 3: Cross multiply
    8,578.96x = 12,869.36 × 2,734.20
  4. Step 4: Simplify right side
    8,578.96x = 35,187,404.11
  5. Step 5: Solve for x
    x = 35,187,404.11/8,578.96
  6. Step 6: Final answer
    x = 4,101.59

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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.