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Finding the Fourth Proportional to 8,413.20, 11,609.04 and 5,227.20

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Solution

The fourth proportional to 8,413.20, 11,609.04 and 5,227.20 is: 7,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.20 : 11,609.04 = 5,227.20 : x
  2. Step 2: Convert to fraction form
    8,413.20/11,609.04 = 5,227.20/x
  3. Step 3: Cross multiply
    8,413.20x = 11,609.04 × 5,227.20
  4. Step 4: Simplify right side
    8,413.20x = 60,682,773.89
  5. Step 5: Solve for x
    x = 60,682,773.89/8,413.20
  6. Step 6: Final answer
    x = 7,212.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.