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Finding the Fourth Proportional to 2,731.65, 3,773.16 and 2,291.82

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Solution

The fourth proportional to 2,731.65, 3,773.16 and 2,291.82 is: 3,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.65 : 3,773.16 = 2,291.82 : x
  2. Step 2: Convert to fraction form
    2,731.65/3,773.16 = 2,291.82/x
  3. Step 3: Cross multiply
    2,731.65x = 3,773.16 × 2,291.82
  4. Step 4: Simplify right side
    2,731.65x = 8,647,403.55
  5. Step 5: Solve for x
    x = 8,647,403.55/2,731.65
  6. Step 6: Final answer
    x = 3,165.63

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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.