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Finding the Fourth Proportional to 21,676.66, 29,912.41 and 12,115.82

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Solution

The fourth proportional to 21,676.66, 29,912.41 and 12,115.82 is: 16,719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.66 : 29,912.41 = 12,115.82 : x
  2. Step 2: Convert to fraction form
    21,676.66/29,912.41 = 12,115.82/x
  3. Step 3: Cross multiply
    21,676.66x = 29,912.41 × 12,115.82
  4. Step 4: Simplify right side
    21,676.66x = 362,413,375.33
  5. Step 5: Solve for x
    x = 362,413,375.33/21,676.66
  6. Step 6: Final answer
    x = 16,719.06

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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.