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Finding the Fourth Proportional to 5,414.88, 8,122.34 and 1,310.88

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Solution

The fourth proportional to 5,414.88, 8,122.34 and 1,310.88 is: 1,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.88 : 8,122.34 = 1,310.88 : x
  2. Step 2: Convert to fraction form
    5,414.88/8,122.34 = 1,310.88/x
  3. Step 3: Cross multiply
    5,414.88x = 8,122.34 × 1,310.88
  4. Step 4: Simplify right side
    5,414.88x = 10,647,413.06
  5. Step 5: Solve for x
    x = 10,647,413.06/5,414.88
  6. Step 6: Final answer
    x = 1,966.32

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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.