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Finding the Fourth Proportional to 12,227, 16,873.28 and 6,638

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Solution

The fourth proportional to 12,227, 16,873.28 and 6,638 is: 9,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227 : 16,873.28 = 6,638 : x
  2. Step 2: Convert to fraction form
    12,227/16,873.28 = 6,638/x
  3. Step 3: Cross multiply
    12,227x = 16,873.28 × 6,638
  4. Step 4: Simplify right side
    12,227x = 112,004,832.64
  5. Step 5: Solve for x
    x = 112,004,832.64/12,227
  6. Step 6: Final answer
    x = 9,160.45

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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.