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Finding the Fourth Proportional to 3,709.52, 5,120.99 and 2,137.31

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Solution

The fourth proportional to 3,709.52, 5,120.99 and 2,137.31 is: 2,950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.52 : 5,120.99 = 2,137.31 : x
  2. Step 2: Convert to fraction form
    3,709.52/5,120.99 = 2,137.31/x
  3. Step 3: Cross multiply
    3,709.52x = 5,120.99 × 2,137.31
  4. Step 4: Simplify right side
    3,709.52x = 10,945,143.14
  5. Step 5: Solve for x
    x = 10,945,143.14/3,709.52
  6. Step 6: Final answer
    x = 2,950.56

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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.