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Finding the Fourth Proportional to 21,692, 29,934.98 and 11,756

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Solution

The fourth proportional to 21,692, 29,934.98 and 11,756 is: 16,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692 : 29,934.98 = 11,756 : x
  2. Step 2: Convert to fraction form
    21,692/29,934.98 = 11,756/x
  3. Step 3: Cross multiply
    21,692x = 29,934.98 × 11,756
  4. Step 4: Simplify right side
    21,692x = 351,915,624.88
  5. Step 5: Solve for x
    x = 351,915,624.88/21,692
  6. Step 6: Final answer
    x = 16,223.29

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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.