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Finding the Fourth Proportional to 2,843.37, 3,922.16 and 2,099.25

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Solution

The fourth proportional to 2,843.37, 3,922.16 and 2,099.25 is: 2,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.37 : 3,922.16 = 2,099.25 : x
  2. Step 2: Convert to fraction form
    2,843.37/3,922.16 = 2,099.25/x
  3. Step 3: Cross multiply
    2,843.37x = 3,922.16 × 2,099.25
  4. Step 4: Simplify right side
    2,843.37x = 8,233,583.88
  5. Step 5: Solve for x
    x = 8,233,583.88/2,843.37
  6. Step 6: Final answer
    x = 2,895.71

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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.