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Finding the Fourth Proportional to 13,993.97, 20,993.72 and 3,998.80

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Solution

The fourth proportional to 13,993.97, 20,993.72 and 3,998.80 is: 5,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.97 : 20,993.72 = 3,998.80 : x
  2. Step 2: Convert to fraction form
    13,993.97/20,993.72 = 3,998.80/x
  3. Step 3: Cross multiply
    13,993.97x = 20,993.72 × 3,998.80
  4. Step 4: Simplify right side
    13,993.97x = 83,949,615.06
  5. Step 5: Solve for x
    x = 83,949,615.06/13,993.97
  6. Step 6: Final answer
    x = 5,998.99

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1.5x scale

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.