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Finding the Fourth Proportional to 2,634.97, 3,953.13 and 786.09

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Solution

The fourth proportional to 2,634.97, 3,953.13 and 786.09 is: 1,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.97 : 3,953.13 = 786.09 : x
  2. Step 2: Convert to fraction form
    2,634.97/3,953.13 = 786.09/x
  3. Step 3: Cross multiply
    2,634.97x = 3,953.13 × 786.09
  4. Step 4: Simplify right side
    2,634.97x = 3,107,515.96
  5. Step 5: Solve for x
    x = 3,107,515.96/2,634.97
  6. Step 6: Final answer
    x = 1,179.34

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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.