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Finding the Fourth Proportional to 2,687.74, 4,027.82 and 2,137.48

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Solution

The fourth proportional to 2,687.74, 4,027.82 and 2,137.48 is: 3,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.74 : 4,027.82 = 2,137.48 : x
  2. Step 2: Convert to fraction form
    2,687.74/4,027.82 = 2,137.48/x
  3. Step 3: Cross multiply
    2,687.74x = 4,027.82 × 2,137.48
  4. Step 4: Simplify right side
    2,687.74x = 8,609,384.69
  5. Step 5: Solve for x
    x = 8,609,384.69/2,687.74
  6. Step 6: Final answer
    x = 3,203.21

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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.