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Finding the Fourth Proportional to 2,687.55, 3,729.05 and 2,611

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Solution

The fourth proportional to 2,687.55, 3,729.05 and 2,611 is: 3,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.55 : 3,729.05 = 2,611 : x
  2. Step 2: Convert to fraction form
    2,687.55/3,729.05 = 2,611/x
  3. Step 3: Cross multiply
    2,687.55x = 3,729.05 × 2,611
  4. Step 4: Simplify right side
    2,687.55x = 9,736,549.55
  5. Step 5: Solve for x
    x = 9,736,549.55/2,687.55
  6. Step 6: Final answer
    x = 3,622.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.