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Finding the Fourth Proportional to 2,241.95, 3,363.89 and 855.70

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Solution

The fourth proportional to 2,241.95, 3,363.89 and 855.70 is: 1,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.95 : 3,363.89 = 855.70 : x
  2. Step 2: Convert to fraction form
    2,241.95/3,363.89 = 855.70/x
  3. Step 3: Cross multiply
    2,241.95x = 3,363.89 × 855.70
  4. Step 4: Simplify right side
    2,241.95x = 2,878,467.98
  5. Step 5: Solve for x
    x = 2,878,467.98/2,241.95
  6. Step 6: Final answer
    x = 1,283.92

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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.