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Finding the Fourth Proportional to 2,634.80, 3,951.61 and 991.46

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Solution

The fourth proportional to 2,634.80, 3,951.61 and 991.46 is: 1,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.80 : 3,951.61 = 991.46 : x
  2. Step 2: Convert to fraction form
    2,634.80/3,951.61 = 991.46/x
  3. Step 3: Cross multiply
    2,634.80x = 3,951.61 × 991.46
  4. Step 4: Simplify right side
    2,634.80x = 3,917,863.25
  5. Step 5: Solve for x
    x = 3,917,863.25/2,634.80
  6. Step 6: Final answer
    x = 1,486.97

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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.