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Finding the Fourth Proportional to 16,268, 22,449.84 and 8,816

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Solution

The fourth proportional to 16,268, 22,449.84 and 8,816 is: 12,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,268 : 22,449.84 = 8,816 : x
  2. Step 2: Convert to fraction form
    16,268/22,449.84 = 8,816/x
  3. Step 3: Cross multiply
    16,268x = 22,449.84 × 8,816
  4. Step 4: Simplify right side
    16,268x = 197,917,789.44
  5. Step 5: Solve for x
    x = 197,917,789.44/16,268
  6. Step 6: Final answer
    x = 12,166.08

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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.