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Finding the Fourth Proportional to 3,891.75, 5,369.16 and 2,495.31

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Solution

The fourth proportional to 3,891.75, 5,369.16 and 2,495.31 is: 3,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.75 : 5,369.16 = 2,495.31 : x
  2. Step 2: Convert to fraction form
    3,891.75/5,369.16 = 2,495.31/x
  3. Step 3: Cross multiply
    3,891.75x = 5,369.16 × 2,495.31
  4. Step 4: Simplify right side
    3,891.75x = 13,397,718.64
  5. Step 5: Solve for x
    x = 13,397,718.64/3,891.75
  6. Step 6: Final answer
    x = 3,442.59

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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.