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Finding the Fourth Proportional to 2,633.91, 3,950.91 and 785.13

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Solution

The fourth proportional to 2,633.91, 3,950.91 and 785.13 is: 1,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.91 : 3,950.91 = 785.13 : x
  2. Step 2: Convert to fraction form
    2,633.91/3,950.91 = 785.13/x
  3. Step 3: Cross multiply
    2,633.91x = 3,950.91 × 785.13
  4. Step 4: Simplify right side
    2,633.91x = 3,101,977.97
  5. Step 5: Solve for x
    x = 3,101,977.97/2,633.91
  6. Step 6: Final answer
    x = 1,177.71

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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.