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Finding the Fourth Proportional to 21,717, 29,969.46 and 11,781

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Solution

The fourth proportional to 21,717, 29,969.46 and 11,781 is: 16,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,717 : 29,969.46 = 11,781 : x
  2. Step 2: Convert to fraction form
    21,717/29,969.46 = 11,781/x
  3. Step 3: Cross multiply
    21,717x = 29,969.46 × 11,781
  4. Step 4: Simplify right side
    21,717x = 353,070,208.26
  5. Step 5: Solve for x
    x = 353,070,208.26/21,717
  6. Step 6: Final answer
    x = 16,257.78

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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.