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Finding the Fourth Proportional to 3,891.69, 5,370.53 and 2,494.44

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Solution

The fourth proportional to 3,891.69, 5,370.53 and 2,494.44 is: 3,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.69 : 5,370.53 = 2,494.44 : x
  2. Step 2: Convert to fraction form
    3,891.69/5,370.53 = 2,494.44/x
  3. Step 3: Cross multiply
    3,891.69x = 5,370.53 × 2,494.44
  4. Step 4: Simplify right side
    3,891.69x = 13,396,451.43
  5. Step 5: Solve for x
    x = 13,396,451.43/3,891.69
  6. Step 6: Final answer
    x = 3,442.32

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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.