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Finding the Fourth Proportional to 6,252.75, 9,380.39 and 2,790

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Solution

The fourth proportional to 6,252.75, 9,380.39 and 2,790 is: 4,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,252.75 : 9,380.39 = 2,790 : x
  2. Step 2: Convert to fraction form
    6,252.75/9,380.39 = 2,790/x
  3. Step 3: Cross multiply
    6,252.75x = 9,380.39 × 2,790
  4. Step 4: Simplify right side
    6,252.75x = 26,171,288.10
  5. Step 5: Solve for x
    x = 26,171,288.10/6,252.75
  6. Step 6: Final answer
    x = 4,185.56

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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.