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Finding the Fourth Proportional to 28,016, 38,662.08 and 16,838

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Solution

The fourth proportional to 28,016, 38,662.08 and 16,838 is: 23,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,016 : 38,662.08 = 16,838 : x
  2. Step 2: Convert to fraction form
    28,016/38,662.08 = 16,838/x
  3. Step 3: Cross multiply
    28,016x = 38,662.08 × 16,838
  4. Step 4: Simplify right side
    28,016x = 650,992,103.04
  5. Step 5: Solve for x
    x = 650,992,103.04/28,016
  6. Step 6: Final answer
    x = 23,236.44

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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.