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Finding the Fourth Proportional to 2,161.02, 3,241.84 and 844.55

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Solution

The fourth proportional to 2,161.02, 3,241.84 and 844.55 is: 1,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.02 : 3,241.84 = 844.55 : x
  2. Step 2: Convert to fraction form
    2,161.02/3,241.84 = 844.55/x
  3. Step 3: Cross multiply
    2,161.02x = 3,241.84 × 844.55
  4. Step 4: Simplify right side
    2,161.02x = 2,737,895.97
  5. Step 5: Solve for x
    x = 2,737,895.97/2,161.02
  6. Step 6: Final answer
    x = 1,266.95

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1.5x scale

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.