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Finding the Fourth Proportional to 21,727.70, 29,984.20 and 11,791.70

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Solution

The fourth proportional to 21,727.70, 29,984.20 and 11,791.70 is: 16,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,727.70 : 29,984.20 = 11,791.70 : x
  2. Step 2: Convert to fraction form
    21,727.70/29,984.20 = 11,791.70/x
  3. Step 3: Cross multiply
    21,727.70x = 29,984.20 × 11,791.70
  4. Step 4: Simplify right side
    21,727.70x = 353,564,691.14
  5. Step 5: Solve for x
    x = 353,564,691.14/21,727.70
  6. Step 6: Final answer
    x = 16,272.53

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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.