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Finding the Fourth Proportional to 8,313, 12,468.64 and 2,469.12

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Solution

The fourth proportional to 8,313, 12,468.64 and 2,469.12 is: 3,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313 : 12,468.64 = 2,469.12 : x
  2. Step 2: Convert to fraction form
    8,313/12,468.64 = 2,469.12/x
  3. Step 3: Cross multiply
    8,313x = 12,468.64 × 2,469.12
  4. Step 4: Simplify right side
    8,313x = 30,786,568.40
  5. Step 5: Solve for x
    x = 30,786,568.40/8,313
  6. Step 6: Final answer
    x = 3,703.42

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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.