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Finding the Fourth Proportional to 2,633.97, 3,951.63 and 785.09

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Solution

The fourth proportional to 2,633.97, 3,951.63 and 785.09 is: 1,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.97 : 3,951.63 = 785.09 : x
  2. Step 2: Convert to fraction form
    2,633.97/3,951.63 = 785.09/x
  3. Step 3: Cross multiply
    2,633.97x = 3,951.63 × 785.09
  4. Step 4: Simplify right side
    2,633.97x = 3,102,365.44
  5. Step 5: Solve for x
    x = 3,102,365.44/2,633.97
  6. Step 6: Final answer
    x = 1,177.83

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1.5x scale

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.