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Finding the Fourth Proportional to 5,257.22, 7,891.98 and 3,690.78

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Solution

The fourth proportional to 5,257.22, 7,891.98 and 3,690.78 is: 5,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.22 : 7,891.98 = 3,690.78 : x
  2. Step 2: Convert to fraction form
    5,257.22/7,891.98 = 3,690.78/x
  3. Step 3: Cross multiply
    5,257.22x = 7,891.98 × 3,690.78
  4. Step 4: Simplify right side
    5,257.22x = 29,127,583.66
  5. Step 5: Solve for x
    x = 29,127,583.66/5,257.22
  6. Step 6: Final answer
    x = 5,540.49

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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.