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Finding the Fourth Proportional to 8,578.60, 12,869.10 and 3,648.20

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Solution

The fourth proportional to 8,578.60, 12,869.10 and 3,648.20 is: 5,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.60 : 12,869.10 = 3,648.20 : x
  2. Step 2: Convert to fraction form
    8,578.60/12,869.10 = 3,648.20/x
  3. Step 3: Cross multiply
    8,578.60x = 12,869.10 × 3,648.20
  4. Step 4: Simplify right side
    8,578.60x = 46,949,050.62
  5. Step 5: Solve for x
    x = 46,949,050.62/8,578.60
  6. Step 6: Final answer
    x = 5,472.81

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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.