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Finding the Fourth Proportional to 2,057.82, 3,087.09 and 759.30

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Solution

The fourth proportional to 2,057.82, 3,087.09 and 759.30 is: 1,139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.82 : 3,087.09 = 759.30 : x
  2. Step 2: Convert to fraction form
    2,057.82/3,087.09 = 759.30/x
  3. Step 3: Cross multiply
    2,057.82x = 3,087.09 × 759.30
  4. Step 4: Simplify right side
    2,057.82x = 2,344,027.44
  5. Step 5: Solve for x
    x = 2,344,027.44/2,057.82
  6. Step 6: Final answer
    x = 1,139.08

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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.