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Finding the Fourth Proportional to 3,896.74, 5,843.74 and 1,122.67

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Solution

The fourth proportional to 3,896.74, 5,843.74 and 1,122.67 is: 1,683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.74 : 5,843.74 = 1,122.67 : x
  2. Step 2: Convert to fraction form
    3,896.74/5,843.74 = 1,122.67/x
  3. Step 3: Cross multiply
    3,896.74x = 5,843.74 × 1,122.67
  4. Step 4: Simplify right side
    3,896.74x = 6,560,591.59
  5. Step 5: Solve for x
    x = 6,560,591.59/3,896.74
  6. Step 6: Final answer
    x = 1,683.61

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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.