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Finding the Fourth Proportional to 3,806.70, 5,253.26 and 2,213.73

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Solution

The fourth proportional to 3,806.70, 5,253.26 and 2,213.73 is: 3,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.70 : 5,253.26 = 2,213.73 : x
  2. Step 2: Convert to fraction form
    3,806.70/5,253.26 = 2,213.73/x
  3. Step 3: Cross multiply
    3,806.70x = 5,253.26 × 2,213.73
  4. Step 4: Simplify right side
    3,806.70x = 11,629,288.19
  5. Step 5: Solve for x
    x = 11,629,288.19/3,806.70
  6. Step 6: Final answer
    x = 3,054.96

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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.