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Finding the Fourth Proportional to 8,469.73, 12,704.11 and 2,313.25

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Solution

The fourth proportional to 8,469.73, 12,704.11 and 2,313.25 is: 3,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.73 : 12,704.11 = 2,313.25 : x
  2. Step 2: Convert to fraction form
    8,469.73/12,704.11 = 2,313.25/x
  3. Step 3: Cross multiply
    8,469.73x = 12,704.11 × 2,313.25
  4. Step 4: Simplify right side
    8,469.73x = 29,387,782.46
  5. Step 5: Solve for x
    x = 29,387,782.46/8,469.73
  6. Step 6: Final answer
    x = 3,469.74

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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.