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Finding the Fourth Proportional to 8,578.89, 12,868.34 and 3,029.22

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Solution

The fourth proportional to 8,578.89, 12,868.34 and 3,029.22 is: 4,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.89 : 12,868.34 = 3,029.22 : x
  2. Step 2: Convert to fraction form
    8,578.89/12,868.34 = 3,029.22/x
  3. Step 3: Cross multiply
    8,578.89x = 12,868.34 × 3,029.22
  4. Step 4: Simplify right side
    8,578.89x = 38,981,017.75
  5. Step 5: Solve for x
    x = 38,981,017.75/8,578.89
  6. Step 6: Final answer
    x = 4,543.83

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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.