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Finding the Fourth Proportional to 20,193.96, 27,891 and 13,467.90

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Solution

The fourth proportional to 20,193.96, 27,891 and 13,467.90 is: 18,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.96 : 27,891 = 13,467.90 : x
  2. Step 2: Convert to fraction form
    20,193.96/27,891 = 13,467.90/x
  3. Step 3: Cross multiply
    20,193.96x = 27,891 × 13,467.90
  4. Step 4: Simplify right side
    20,193.96x = 375,633,198.90
  5. Step 5: Solve for x
    x = 375,633,198.90/20,193.96
  6. Step 6: Final answer
    x = 18,601.26

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1.5x scale

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.