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Finding the Fourth Proportional to 2,191.21, 3,286.84 and 547.75

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Solution

The fourth proportional to 2,191.21, 3,286.84 and 547.75 is: 821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.21 : 3,286.84 = 547.75 : x
  2. Step 2: Convert to fraction form
    2,191.21/3,286.84 = 547.75/x
  3. Step 3: Cross multiply
    2,191.21x = 3,286.84 × 547.75
  4. Step 4: Simplify right side
    2,191.21x = 1,800,366.61
  5. Step 5: Solve for x
    x = 1,800,366.61/2,191.21
  6. Step 6: Final answer
    x = 821.63

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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.