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Finding the Fourth Proportional to 2,136.91, 3,205.82 and 676.18

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Solution

The fourth proportional to 2,136.91, 3,205.82 and 676.18 is: 1,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.91 : 3,205.82 = 676.18 : x
  2. Step 2: Convert to fraction form
    2,136.91/3,205.82 = 676.18/x
  3. Step 3: Cross multiply
    2,136.91x = 3,205.82 × 676.18
  4. Step 4: Simplify right side
    2,136.91x = 2,167,691.96
  5. Step 5: Solve for x
    x = 2,167,691.96/2,136.91
  6. Step 6: Final answer
    x = 1,014.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.