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Finding the Fourth Proportional to 2,251.53, 3,378.56 and 791.55

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Solution

The fourth proportional to 2,251.53, 3,378.56 and 791.55 is: 1,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.53 : 3,378.56 = 791.55 : x
  2. Step 2: Convert to fraction form
    2,251.53/3,378.56 = 791.55/x
  3. Step 3: Cross multiply
    2,251.53x = 3,378.56 × 791.55
  4. Step 4: Simplify right side
    2,251.53x = 2,674,295.21
  5. Step 5: Solve for x
    x = 2,674,295.21/2,251.53
  6. Step 6: Final answer
    x = 1,187.77

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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.