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Finding the Fourth Proportional to 8,578.44, 12,855.42 and 5,069.16

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Solution

The fourth proportional to 8,578.44, 12,855.42 and 5,069.16 is: 7,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.44 : 12,855.42 = 5,069.16 : x
  2. Step 2: Convert to fraction form
    8,578.44/12,855.42 = 5,069.16/x
  3. Step 3: Cross multiply
    8,578.44x = 12,855.42 × 5,069.16
  4. Step 4: Simplify right side
    8,578.44x = 65,166,180.85
  5. Step 5: Solve for x
    x = 65,166,180.85/8,578.44
  6. Step 6: Final answer
    x = 7,596.51

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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.