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Finding the Fourth Proportional to 2,882.22, 3,977.84 and 1,687.57

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Solution

The fourth proportional to 2,882.22, 3,977.84 and 1,687.57 is: 2,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.22 : 3,977.84 = 1,687.57 : x
  2. Step 2: Convert to fraction form
    2,882.22/3,977.84 = 1,687.57/x
  3. Step 3: Cross multiply
    2,882.22x = 3,977.84 × 1,687.57
  4. Step 4: Simplify right side
    2,882.22x = 6,712,863.56
  5. Step 5: Solve for x
    x = 6,712,863.56/2,882.22
  6. Step 6: Final answer
    x = 2,329.06

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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.