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Finding the Fourth Proportional to 2,107.81, 3,161.43 and 627

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Solution

The fourth proportional to 2,107.81, 3,161.43 and 627 is: 940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.81 : 3,161.43 = 627 : x
  2. Step 2: Convert to fraction form
    2,107.81/3,161.43 = 627/x
  3. Step 3: Cross multiply
    2,107.81x = 3,161.43 × 627
  4. Step 4: Simplify right side
    2,107.81x = 1,982,216.61
  5. Step 5: Solve for x
    x = 1,982,216.61/2,107.81
  6. Step 6: Final answer
    x = 940.42

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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.