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Finding the Fourth Proportional to 2,137.31, 3,203.75 and 820.71

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Solution

The fourth proportional to 2,137.31, 3,203.75 and 820.71 is: 1,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.31 : 3,203.75 = 820.71 : x
  2. Step 2: Convert to fraction form
    2,137.31/3,203.75 = 820.71/x
  3. Step 3: Cross multiply
    2,137.31x = 3,203.75 × 820.71
  4. Step 4: Simplify right side
    2,137.31x = 2,629,333.64
  5. Step 5: Solve for x
    x = 2,629,333.64/2,137.31
  6. Step 6: Final answer
    x = 1,230.21

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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.