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Finding the Fourth Proportional to 3,859.44, 5,786.97 and 1,226.44

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Solution

The fourth proportional to 3,859.44, 5,786.97 and 1,226.44 is: 1,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.44 : 5,786.97 = 1,226.44 : x
  2. Step 2: Convert to fraction form
    3,859.44/5,786.97 = 1,226.44/x
  3. Step 3: Cross multiply
    3,859.44x = 5,786.97 × 1,226.44
  4. Step 4: Simplify right side
    3,859.44x = 7,097,371.49
  5. Step 5: Solve for x
    x = 7,097,371.49/3,859.44
  6. Step 6: Final answer
    x = 1,838.96

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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.