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Finding the Fourth Proportional to 21,696, 32,519.52 and 11,832

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Solution

The fourth proportional to 21,696, 32,519.52 and 11,832 is: 17,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,696 : 32,519.52 = 11,832 : x
  2. Step 2: Convert to fraction form
    21,696/32,519.52 = 11,832/x
  3. Step 3: Cross multiply
    21,696x = 32,519.52 × 11,832
  4. Step 4: Simplify right side
    21,696x = 384,770,960.64
  5. Step 5: Solve for x
    x = 384,770,960.64/21,696
  6. Step 6: Final answer
    x = 17,734.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.