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Finding the Fourth Proportional to 13,384, 18,469.92 and 7,496

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Solution

The fourth proportional to 13,384, 18,469.92 and 7,496 is: 10,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384 : 18,469.92 = 7,496 : x
  2. Step 2: Convert to fraction form
    13,384/18,469.92 = 7,496/x
  3. Step 3: Cross multiply
    13,384x = 18,469.92 × 7,496
  4. Step 4: Simplify right side
    13,384x = 138,450,520.32
  5. Step 5: Solve for x
    x = 138,450,520.32/13,384
  6. Step 6: Final answer
    x = 10,344.48

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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.