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Finding the Fourth Proportional to 20,452, 30,677.94 and 6,413.12

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Solution

The fourth proportional to 20,452, 30,677.94 and 6,413.12 is: 9,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452 : 30,677.94 = 6,413.12 : x
  2. Step 2: Convert to fraction form
    20,452/30,677.94 = 6,413.12/x
  3. Step 3: Cross multiply
    20,452x = 30,677.94 × 6,413.12
  4. Step 4: Simplify right side
    20,452x = 196,741,310.57
  5. Step 5: Solve for x
    x = 196,741,310.57/20,452
  6. Step 6: Final answer
    x = 9,619.66

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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.