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Finding the Fourth Proportional to 2,196.26, 3,294.14 and 636.40

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Solution

The fourth proportional to 2,196.26, 3,294.14 and 636.40 is: 954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.26 : 3,294.14 = 636.40 : x
  2. Step 2: Convert to fraction form
    2,196.26/3,294.14 = 636.40/x
  3. Step 3: Cross multiply
    2,196.26x = 3,294.14 × 636.40
  4. Step 4: Simplify right side
    2,196.26x = 2,096,390.70
  5. Step 5: Solve for x
    x = 2,096,390.70/2,196.26
  6. Step 6: Final answer
    x = 954.53

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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.