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Finding the Fourth Proportional to 5,611.71, 8,408.26 and 3,413.79

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Solution

The fourth proportional to 5,611.71, 8,408.26 and 3,413.79 is: 5,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.71 : 8,408.26 = 3,413.79 : x
  2. Step 2: Convert to fraction form
    5,611.71/8,408.26 = 3,413.79/x
  3. Step 3: Cross multiply
    5,611.71x = 8,408.26 × 3,413.79
  4. Step 4: Simplify right side
    5,611.71x = 28,704,033.91
  5. Step 5: Solve for x
    x = 28,704,033.91/5,611.71
  6. Step 6: Final answer
    x = 5,115.02

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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.