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Finding the Fourth Proportional to 21,677, 29,914.34 and 11,741

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Solution

The fourth proportional to 21,677, 29,914.34 and 11,741 is: 16,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677 : 29,914.34 = 11,741 : x
  2. Step 2: Convert to fraction form
    21,677/29,914.34 = 11,741/x
  3. Step 3: Cross multiply
    21,677x = 29,914.34 × 11,741
  4. Step 4: Simplify right side
    21,677x = 351,224,265.94
  5. Step 5: Solve for x
    x = 351,224,265.94/21,677
  6. Step 6: Final answer
    x = 16,202.62

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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.