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Finding the Fourth Proportional to 13,469.33, 20,202.32 and 3,609.30

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Solution

The fourth proportional to 13,469.33, 20,202.32 and 3,609.30 is: 5,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.33 : 20,202.32 = 3,609.30 : x
  2. Step 2: Convert to fraction form
    13,469.33/20,202.32 = 3,609.30/x
  3. Step 3: Cross multiply
    13,469.33x = 20,202.32 × 3,609.30
  4. Step 4: Simplify right side
    13,469.33x = 72,916,242.60
  5. Step 5: Solve for x
    x = 72,916,242.60/13,469.33
  6. Step 6: Final answer
    x = 5,413.50

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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.