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Finding the Fourth Proportional to 20,469.97, 30,704.95 and 9,212.15

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Solution

The fourth proportional to 20,469.97, 30,704.95 and 9,212.15 is: 13,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.97 : 30,704.95 = 9,212.15 : x
  2. Step 2: Convert to fraction form
    20,469.97/30,704.95 = 9,212.15/x
  3. Step 3: Cross multiply
    20,469.97x = 30,704.95 × 9,212.15
  4. Step 4: Simplify right side
    20,469.97x = 282,858,605.14
  5. Step 5: Solve for x
    x = 282,858,605.14/20,469.97
  6. Step 6: Final answer
    x = 13,818.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.