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Finding the Fourth Proportional to 2,891.67, 3,991.07 and 2,260.95

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Solution

The fourth proportional to 2,891.67, 3,991.07 and 2,260.95 is: 3,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.67 : 3,991.07 = 2,260.95 : x
  2. Step 2: Convert to fraction form
    2,891.67/3,991.07 = 2,260.95/x
  3. Step 3: Cross multiply
    2,891.67x = 3,991.07 × 2,260.95
  4. Step 4: Simplify right side
    2,891.67x = 9,023,609.72
  5. Step 5: Solve for x
    x = 9,023,609.72/2,891.67
  6. Step 6: Final answer
    x = 3,120.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.