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Finding the Fourth Proportional to 2,642.49, 3,963.96 and 694.71

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Solution

The fourth proportional to 2,642.49, 3,963.96 and 694.71 is: 1,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.49 : 3,963.96 = 694.71 : x
  2. Step 2: Convert to fraction form
    2,642.49/3,963.96 = 694.71/x
  3. Step 3: Cross multiply
    2,642.49x = 3,963.96 × 694.71
  4. Step 4: Simplify right side
    2,642.49x = 2,753,802.65
  5. Step 5: Solve for x
    x = 2,753,802.65/2,642.49
  6. Step 6: Final answer
    x = 1,042.12

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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.