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Finding the Fourth Proportional to 3,609.13, 5,413.69 and 873.13

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Solution

The fourth proportional to 3,609.13, 5,413.69 and 873.13 is: 1,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.13 : 5,413.69 = 873.13 : x
  2. Step 2: Convert to fraction form
    3,609.13/5,413.69 = 873.13/x
  3. Step 3: Cross multiply
    3,609.13x = 5,413.69 × 873.13
  4. Step 4: Simplify right side
    3,609.13x = 4,726,855.15
  5. Step 5: Solve for x
    x = 4,726,855.15/3,609.13
  6. Step 6: Final answer
    x = 1,309.69

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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.