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Finding the Fourth Proportional to 2,786.99, 3,850.20 and 1,832.15

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Solution

The fourth proportional to 2,786.99, 3,850.20 and 1,832.15 is: 2,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.99 : 3,850.20 = 1,832.15 : x
  2. Step 2: Convert to fraction form
    2,786.99/3,850.20 = 1,832.15/x
  3. Step 3: Cross multiply
    2,786.99x = 3,850.20 × 1,832.15
  4. Step 4: Simplify right side
    2,786.99x = 7,054,153.56
  5. Step 5: Solve for x
    x = 7,054,153.56/2,786.99
  6. Step 6: Final answer
    x = 2,531.11

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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.