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Finding the Fourth Proportional to 20,997, 31,496.11 and 5,414.63

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Solution

The fourth proportional to 20,997, 31,496.11 and 5,414.63 is: 8,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,997 : 31,496.11 = 5,414.63 : x
  2. Step 2: Convert to fraction form
    20,997/31,496.11 = 5,414.63/x
  3. Step 3: Cross multiply
    20,997x = 31,496.11 × 5,414.63
  4. Step 4: Simplify right side
    20,997x = 170,539,611.07
  5. Step 5: Solve for x
    x = 170,539,611.07/20,997
  6. Step 6: Final answer
    x = 8,122.09

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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.