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Finding the Fourth Proportional to 2,191.25, 3,286.83 and 547.79

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Solution

The fourth proportional to 2,191.25, 3,286.83 and 547.79 is: 821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.25 : 3,286.83 = 547.79 : x
  2. Step 2: Convert to fraction form
    2,191.25/3,286.83 = 547.79/x
  3. Step 3: Cross multiply
    2,191.25x = 3,286.83 × 547.79
  4. Step 4: Simplify right side
    2,191.25x = 1,800,492.61
  5. Step 5: Solve for x
    x = 1,800,492.61/2,191.25
  6. Step 6: Final answer
    x = 821.67

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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.