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Finding the Fourth Proportional to 2,676.96, 3,691.62 and 2,116.62

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Solution

The fourth proportional to 2,676.96, 3,691.62 and 2,116.62 is: 2,918.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.96 : 3,691.62 = 2,116.62 : x
  2. Step 2: Convert to fraction form
    2,676.96/3,691.62 = 2,116.62/x
  3. Step 3: Cross multiply
    2,676.96x = 3,691.62 × 2,116.62
  4. Step 4: Simplify right side
    2,676.96x = 7,813,756.72
  5. Step 5: Solve for x
    x = 7,813,756.72/2,676.96
  6. Step 6: Final answer
    x = 2,918.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.