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Finding the Fourth Proportional to 2,191.00, 3,286.87 and 958.38

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Solution

The fourth proportional to 2,191.00, 3,286.87 and 958.38 is: 1,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.00 : 3,286.87 = 958.38 : x
  2. Step 2: Convert to fraction form
    2,191.00/3,286.87 = 958.38/x
  3. Step 3: Cross multiply
    2,191.00x = 3,286.87 × 958.38
  4. Step 4: Simplify right side
    2,191.00x = 3,150,068.07
  5. Step 5: Solve for x
    x = 3,150,068.07/2,191.00
  6. Step 6: Final answer
    x = 1,437.73

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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.