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Finding the Fourth Proportional to 20,997, 28,975.87 and 11,565.57

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Solution

The fourth proportional to 20,997, 28,975.87 and 11,565.57 is: 15,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,997 : 28,975.87 = 11,565.57 : x
  2. Step 2: Convert to fraction form
    20,997/28,975.87 = 11,565.57/x
  3. Step 3: Cross multiply
    20,997x = 28,975.87 × 11,565.57
  4. Step 4: Simplify right side
    20,997x = 335,122,452.80
  5. Step 5: Solve for x
    x = 335,122,452.80/20,997
  6. Step 6: Final answer
    x = 15,960.49

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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.