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Finding the Fourth Proportional to 2,855.30, 3,945.44 and 2,227.41

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Solution

The fourth proportional to 2,855.30, 3,945.44 and 2,227.41 is: 3,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.30 : 3,945.44 = 2,227.41 : x
  2. Step 2: Convert to fraction form
    2,855.30/3,945.44 = 2,227.41/x
  3. Step 3: Cross multiply
    2,855.30x = 3,945.44 × 2,227.41
  4. Step 4: Simplify right side
    2,855.30x = 8,788,118.08
  5. Step 5: Solve for x
    x = 8,788,118.08/2,855.30
  6. Step 6: Final answer
    x = 3,077.83

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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.