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Finding the Fourth Proportional to 2,634.87, 3,952.87 and 786.14

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Solution

The fourth proportional to 2,634.87, 3,952.87 and 786.14 is: 1,179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.87 : 3,952.87 = 786.14 : x
  2. Step 2: Convert to fraction form
    2,634.87/3,952.87 = 786.14/x
  3. Step 3: Cross multiply
    2,634.87x = 3,952.87 × 786.14
  4. Step 4: Simplify right side
    2,634.87x = 3,107,489.46
  5. Step 5: Solve for x
    x = 3,107,489.46/2,634.87
  6. Step 6: Final answer
    x = 1,179.37

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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.