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Finding the Fourth Proportional to 13,344, 18,416.16 and 8,376

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Solution

The fourth proportional to 13,344, 18,416.16 and 8,376 is: 11,559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344 : 18,416.16 = 8,376 : x
  2. Step 2: Convert to fraction form
    13,344/18,416.16 = 8,376/x
  3. Step 3: Cross multiply
    13,344x = 18,416.16 × 8,376
  4. Step 4: Simplify right side
    13,344x = 154,253,756.16
  5. Step 5: Solve for x
    x = 154,253,756.16/13,344
  6. Step 6: Final answer
    x = 11,559.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.