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Finding the Fourth Proportional to 1,934.27, 2,901.87 and 635.75

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Solution

The fourth proportional to 1,934.27, 2,901.87 and 635.75 is: 953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.27 : 2,901.87 = 635.75 : x
  2. Step 2: Convert to fraction form
    1,934.27/2,901.87 = 635.75/x
  3. Step 3: Cross multiply
    1,934.27x = 2,901.87 × 635.75
  4. Step 4: Simplify right side
    1,934.27x = 1,844,863.85
  5. Step 5: Solve for x
    x = 1,844,863.85/1,934.27
  6. Step 6: Final answer
    x = 953.78

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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.