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Finding the Fourth Proportional to 2,679.14, 3,696.90 and 1,617.14

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Solution

The fourth proportional to 2,679.14, 3,696.90 and 1,617.14 is: 2,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.14 : 3,696.90 = 1,617.14 : x
  2. Step 2: Convert to fraction form
    2,679.14/3,696.90 = 1,617.14/x
  3. Step 3: Cross multiply
    2,679.14x = 3,696.90 × 1,617.14
  4. Step 4: Simplify right side
    2,679.14x = 5,978,404.87
  5. Step 5: Solve for x
    x = 5,978,404.87/2,679.14
  6. Step 6: Final answer
    x = 2,231.46

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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.