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Finding the Fourth Proportional to 2,855.25, 3,941.87 and 2,155.41

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Solution

The fourth proportional to 2,855.25, 3,941.87 and 2,155.41 is: 2,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.25 : 3,941.87 = 2,155.41 : x
  2. Step 2: Convert to fraction form
    2,855.25/3,941.87 = 2,155.41/x
  3. Step 3: Cross multiply
    2,855.25x = 3,941.87 × 2,155.41
  4. Step 4: Simplify right side
    2,855.25x = 8,496,335.24
  5. Step 5: Solve for x
    x = 8,496,335.24/2,855.25
  6. Step 6: Final answer
    x = 2,975.69

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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.