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Finding the Fourth Proportional to 20,092.78, 30,138.49 and 7,609.06

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Solution

The fourth proportional to 20,092.78, 30,138.49 and 7,609.06 is: 11,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092.78 : 30,138.49 = 7,609.06 : x
  2. Step 2: Convert to fraction form
    20,092.78/30,138.49 = 7,609.06/x
  3. Step 3: Cross multiply
    20,092.78x = 30,138.49 × 7,609.06
  4. Step 4: Simplify right side
    20,092.78x = 229,325,578.72
  5. Step 5: Solve for x
    x = 229,325,578.72/20,092.78
  6. Step 6: Final answer
    x = 11,413.33

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1.5x scale

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.