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Finding the Fourth Proportional to 27,872.09, 38,463.49 and 16,694.09

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Solution

The fourth proportional to 27,872.09, 38,463.49 and 16,694.09 is: 23,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.09 : 38,463.49 = 16,694.09 : x
  2. Step 2: Convert to fraction form
    27,872.09/38,463.49 = 16,694.09/x
  3. Step 3: Cross multiply
    27,872.09x = 38,463.49 × 16,694.09
  4. Step 4: Simplify right side
    27,872.09x = 642,112,963.77
  5. Step 5: Solve for x
    x = 642,112,963.77/27,872.09
  6. Step 6: Final answer
    x = 23,037.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.