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Finding the Fourth Proportional to 27,872.54, 38,461.56 and 16,540.09

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Solution

The fourth proportional to 27,872.54, 38,461.56 and 16,540.09 is: 22,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.54 : 38,461.56 = 16,540.09 : x
  2. Step 2: Convert to fraction form
    27,872.54/38,461.56 = 16,540.09/x
  3. Step 3: Cross multiply
    27,872.54x = 38,461.56 × 16,540.09
  4. Step 4: Simplify right side
    27,872.54x = 636,157,663.94
  5. Step 5: Solve for x
    x = 636,157,663.94/27,872.54
  6. Step 6: Final answer
    x = 22,823.81

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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.