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Finding the Fourth Proportional to 2,634.80, 3,952.41 and 785.88

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Solution

The fourth proportional to 2,634.80, 3,952.41 and 785.88 is: 1,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.80 : 3,952.41 = 785.88 : x
  2. Step 2: Convert to fraction form
    2,634.80/3,952.41 = 785.88/x
  3. Step 3: Cross multiply
    2,634.80x = 3,952.41 × 785.88
  4. Step 4: Simplify right side
    2,634.80x = 3,106,119.97
  5. Step 5: Solve for x
    x = 3,106,119.97/2,634.80
  6. Step 6: Final answer
    x = 1,178.88

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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.