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Finding the Fourth Proportional to 3,679.44, 5,517.72 and 1,626

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Solution

The fourth proportional to 3,679.44, 5,517.72 and 1,626 is: 2,438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.44 : 5,517.72 = 1,626 : x
  2. Step 2: Convert to fraction form
    3,679.44/5,517.72 = 1,626/x
  3. Step 3: Cross multiply
    3,679.44x = 5,517.72 × 1,626
  4. Step 4: Simplify right side
    3,679.44x = 8,971,812.72
  5. Step 5: Solve for x
    x = 8,971,812.72/3,679.44
  6. Step 6: Final answer
    x = 2,438.36

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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.