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Finding the Fourth Proportional to 2,178.09, 3,266.82 and 791.78

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Solution

The fourth proportional to 2,178.09, 3,266.82 and 791.78 is: 1,187.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.09 : 3,266.82 = 791.78 : x
  2. Step 2: Convert to fraction form
    2,178.09/3,266.82 = 791.78/x
  3. Step 3: Cross multiply
    2,178.09x = 3,266.82 × 791.78
  4. Step 4: Simplify right side
    2,178.09x = 2,586,586.41
  5. Step 5: Solve for x
    x = 2,586,586.41/2,178.09
  6. Step 6: Final answer
    x = 1,187.55

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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.