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Finding the Fourth Proportional to 6,187.89, 9,279 and 3,413.64

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Solution

The fourth proportional to 6,187.89, 9,279 and 3,413.64 is: 5,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.89 : 9,279 = 3,413.64 : x
  2. Step 2: Convert to fraction form
    6,187.89/9,279 = 3,413.64/x
  3. Step 3: Cross multiply
    6,187.89x = 9,279 × 3,413.64
  4. Step 4: Simplify right side
    6,187.89x = 31,675,165.56
  5. Step 5: Solve for x
    x = 31,675,165.56/6,187.89
  6. Step 6: Final answer
    x = 5,118.90

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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.