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Finding the Fourth Proportional to 3,609.32, 5,413.91 and 873.32

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Solution

The fourth proportional to 3,609.32, 5,413.91 and 873.32 is: 1,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.32 : 5,413.91 = 873.32 : x
  2. Step 2: Convert to fraction form
    3,609.32/5,413.91 = 873.32/x
  3. Step 3: Cross multiply
    3,609.32x = 5,413.91 × 873.32
  4. Step 4: Simplify right side
    3,609.32x = 4,728,044.45
  5. Step 5: Solve for x
    x = 4,728,044.45/3,609.32
  6. Step 6: Final answer
    x = 1,309.96

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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.