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Finding the Fourth Proportional to 21,676, 29,912.96 and 11,740

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Solution

The fourth proportional to 21,676, 29,912.96 and 11,740 is: 16,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676 : 29,912.96 = 11,740 : x
  2. Step 2: Convert to fraction form
    21,676/29,912.96 = 11,740/x
  3. Step 3: Cross multiply
    21,676x = 29,912.96 × 11,740
  4. Step 4: Simplify right side
    21,676x = 351,178,150.40
  5. Step 5: Solve for x
    x = 351,178,150.40/21,676
  6. Step 6: Final answer
    x = 16,201.24

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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.