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Finding the Fourth Proportional to 16,267, 22,448.48 and 8,815

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Solution

The fourth proportional to 16,267, 22,448.48 and 8,815 is: 12,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267 : 22,448.48 = 8,815 : x
  2. Step 2: Convert to fraction form
    16,267/22,448.48 = 8,815/x
  3. Step 3: Cross multiply
    16,267x = 22,448.48 × 8,815
  4. Step 4: Simplify right side
    16,267x = 197,883,351.20
  5. Step 5: Solve for x
    x = 197,883,351.20/16,267
  6. Step 6: Final answer
    x = 12,164.71

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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.