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Finding the Fourth Proportional to 8,611.20, 12,909.12 and 3,413.52

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Solution

The fourth proportional to 8,611.20, 12,909.12 and 3,413.52 is: 5,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.20 : 12,909.12 = 3,413.52 : x
  2. Step 2: Convert to fraction form
    8,611.20/12,909.12 = 3,413.52/x
  3. Step 3: Cross multiply
    8,611.20x = 12,909.12 × 3,413.52
  4. Step 4: Simplify right side
    8,611.20x = 44,065,539.30
  5. Step 5: Solve for x
    x = 44,065,539.30/8,611.20
  6. Step 6: Final answer
    x = 5,117.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.