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Finding the Fourth Proportional to 5,517.86, 8,276.79 and 1,413.86

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Solution

The fourth proportional to 5,517.86, 8,276.79 and 1,413.86 is: 2,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517.86 : 8,276.79 = 1,413.86 : x
  2. Step 2: Convert to fraction form
    5,517.86/8,276.79 = 1,413.86/x
  3. Step 3: Cross multiply
    5,517.86x = 8,276.79 × 1,413.86
  4. Step 4: Simplify right side
    5,517.86x = 11,702,222.31
  5. Step 5: Solve for x
    x = 11,702,222.31/5,517.86
  6. Step 6: Final answer
    x = 2,120.79

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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.