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Finding the Fourth Proportional to 2,097.81, 3,145.86 and 636.44

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Solution

The fourth proportional to 2,097.81, 3,145.86 and 636.44 is: 954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.81 : 3,145.86 = 636.44 : x
  2. Step 2: Convert to fraction form
    2,097.81/3,145.86 = 636.44/x
  3. Step 3: Cross multiply
    2,097.81x = 3,145.86 × 636.44
  4. Step 4: Simplify right side
    2,097.81x = 2,002,135.41
  5. Step 5: Solve for x
    x = 2,002,135.41/2,097.81
  6. Step 6: Final answer
    x = 954.39

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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.