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Finding the Fourth Proportional to 2,642.62, 3,963.51 and 1,181.51

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Solution

The fourth proportional to 2,642.62, 3,963.51 and 1,181.51 is: 1,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.62 : 3,963.51 = 1,181.51 : x
  2. Step 2: Convert to fraction form
    2,642.62/3,963.51 = 1,181.51/x
  3. Step 3: Cross multiply
    2,642.62x = 3,963.51 × 1,181.51
  4. Step 4: Simplify right side
    2,642.62x = 4,682,926.70
  5. Step 5: Solve for x
    x = 4,682,926.70/2,642.62
  6. Step 6: Final answer
    x = 1,772.08

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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.