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Finding the Fourth Proportional to 8,578.10, 12,869.89 and 3,833.53

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Solution

The fourth proportional to 8,578.10, 12,869.89 and 3,833.53 is: 5,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.10 : 12,869.89 = 3,833.53 : x
  2. Step 2: Convert to fraction form
    8,578.10/12,869.89 = 3,833.53/x
  3. Step 3: Cross multiply
    8,578.10x = 12,869.89 × 3,833.53
  4. Step 4: Simplify right side
    8,578.10x = 49,337,067.65
  5. Step 5: Solve for x
    x = 49,337,067.65/8,578.10
  6. Step 6: Final answer
    x = 5,751.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.