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Finding the Fourth Proportional to 5,920, 8,874.08 and 2,634.56

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Solution

The fourth proportional to 5,920, 8,874.08 and 2,634.56 is: 3,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920 : 8,874.08 = 2,634.56 : x
  2. Step 2: Convert to fraction form
    5,920/8,874.08 = 2,634.56/x
  3. Step 3: Cross multiply
    5,920x = 8,874.08 × 2,634.56
  4. Step 4: Simplify right side
    5,920x = 23,379,296.20
  5. Step 5: Solve for x
    x = 23,379,296.20/5,920
  6. Step 6: Final answer
    x = 3,949.21

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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.