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Finding the Fourth Proportional to 2,855.44, 3,942.84 and 2,110.24

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Solution

The fourth proportional to 2,855.44, 3,942.84 and 2,110.24 is: 2,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.44 : 3,942.84 = 2,110.24 : x
  2. Step 2: Convert to fraction form
    2,855.44/3,942.84 = 2,110.24/x
  3. Step 3: Cross multiply
    2,855.44x = 3,942.84 × 2,110.24
  4. Step 4: Simplify right side
    2,855.44x = 8,320,338.68
  5. Step 5: Solve for x
    x = 8,320,338.68/2,855.44
  6. Step 6: Final answer
    x = 2,913.86

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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.