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Finding the Fourth Proportional to 8,052.57, 12,078.87 and 2,209.23

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Solution

The fourth proportional to 8,052.57, 12,078.87 and 2,209.23 is: 3,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.57 : 12,078.87 = 2,209.23 : x
  2. Step 2: Convert to fraction form
    8,052.57/12,078.87 = 2,209.23/x
  3. Step 3: Cross multiply
    8,052.57x = 12,078.87 × 2,209.23
  4. Step 4: Simplify right side
    8,052.57x = 26,685,001.97
  5. Step 5: Solve for x
    x = 26,685,001.97/8,052.57
  6. Step 6: Final answer
    x = 3,313.85

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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.