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Finding the Fourth Proportional to 2,097.28, 3,145.94 and 636.44

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Solution

The fourth proportional to 2,097.28, 3,145.94 and 636.44 is: 954.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.28 : 3,145.94 = 636.44 : x
  2. Step 2: Convert to fraction form
    2,097.28/3,145.94 = 636.44/x
  3. Step 3: Cross multiply
    2,097.28x = 3,145.94 × 636.44
  4. Step 4: Simplify right side
    2,097.28x = 2,002,202.05
  5. Step 5: Solve for x
    x = 2,002,202.05/2,097.28
  6. Step 6: Final answer
    x = 954.67

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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.