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Finding the Fourth Proportional to 13,991.73, 20,991.42 and 4,131

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Solution

The fourth proportional to 13,991.73, 20,991.42 and 4,131 is: 6,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.73 : 20,991.42 = 4,131 : x
  2. Step 2: Convert to fraction form
    13,991.73/20,991.42 = 4,131/x
  3. Step 3: Cross multiply
    13,991.73x = 20,991.42 × 4,131
  4. Step 4: Simplify right side
    13,991.73x = 86,715,556.02
  5. Step 5: Solve for x
    x = 86,715,556.02/13,991.73
  6. Step 6: Final answer
    x = 6,197.63

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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.