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Finding the Fourth Proportional to 3,786.28, 5,224.22 and 2,213.64

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Solution

The fourth proportional to 3,786.28, 5,224.22 and 2,213.64 is: 3,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.28 : 5,224.22 = 2,213.64 : x
  2. Step 2: Convert to fraction form
    3,786.28/5,224.22 = 2,213.64/x
  3. Step 3: Cross multiply
    3,786.28x = 5,224.22 × 2,213.64
  4. Step 4: Simplify right side
    3,786.28x = 11,564,542.36
  5. Step 5: Solve for x
    x = 11,564,542.36/3,786.28
  6. Step 6: Final answer
    x = 3,054.33

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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.