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Finding the Fourth Proportional to 13,993.82, 20,990.70 and 5,229.42

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Solution

The fourth proportional to 13,993.82, 20,990.70 and 5,229.42 is: 7,844.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.82 : 20,990.70 = 5,229.42 : x
  2. Step 2: Convert to fraction form
    13,993.82/20,990.70 = 5,229.42/x
  3. Step 3: Cross multiply
    13,993.82x = 20,990.70 × 5,229.42
  4. Step 4: Simplify right side
    13,993.82x = 109,769,186.39
  5. Step 5: Solve for x
    x = 109,769,186.39/13,993.82
  6. Step 6: Final answer
    x = 7,844.12

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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.