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Finding the Fourth Proportional to 2,638.87, 3,958.31 and 691.07

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Solution

The fourth proportional to 2,638.87, 3,958.31 and 691.07 is: 1,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.87 : 3,958.31 = 691.07 : x
  2. Step 2: Convert to fraction form
    2,638.87/3,958.31 = 691.07/x
  3. Step 3: Cross multiply
    2,638.87x = 3,958.31 × 691.07
  4. Step 4: Simplify right side
    2,638.87x = 2,735,446.04
  5. Step 5: Solve for x
    x = 2,735,446.04/2,638.87
  6. Step 6: Final answer
    x = 1,036.60

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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.