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Finding the Fourth Proportional to 2,786.00, 4,179.00 and 1,142.25

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Solution

The fourth proportional to 2,786.00, 4,179.00 and 1,142.25 is: 1,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.00 : 4,179.00 = 1,142.25 : x
  2. Step 2: Convert to fraction form
    2,786.00/4,179.00 = 1,142.25/x
  3. Step 3: Cross multiply
    2,786.00x = 4,179.00 × 1,142.25
  4. Step 4: Simplify right side
    2,786.00x = 4,773,436.14
  5. Step 5: Solve for x
    x = 4,773,436.14/2,786.00
  6. Step 6: Final answer
    x = 1,713.37

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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.