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Finding the Fourth Proportional to 20,197.68, 27,879.09 and 13,821.87

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Solution

The fourth proportional to 20,197.68, 27,879.09 and 13,821.87 is: 19,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.68 : 27,879.09 = 13,821.87 : x
  2. Step 2: Convert to fraction form
    20,197.68/27,879.09 = 13,821.87/x
  3. Step 3: Cross multiply
    20,197.68x = 27,879.09 × 13,821.87
  4. Step 4: Simplify right side
    20,197.68x = 385,341,157.70
  5. Step 5: Solve for x
    x = 385,341,157.70/20,197.68
  6. Step 6: Final answer
    x = 19,078.49

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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.