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Finding the Fourth Proportional to 16,871.22, 23,274 and 10,908

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Solution

The fourth proportional to 16,871.22, 23,274 and 10,908 is: 15,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.22 : 23,274 = 10,908 : x
  2. Step 2: Convert to fraction form
    16,871.22/23,274 = 10,908/x
  3. Step 3: Cross multiply
    16,871.22x = 23,274 × 10,908
  4. Step 4: Simplify right side
    16,871.22x = 253,872,792
  5. Step 5: Solve for x
    x = 253,872,792/16,871.22
  6. Step 6: Final answer
    x = 15,047.68

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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.