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Finding the Fourth Proportional to 3,390.76, 5,082.09 and 1,927.90

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Solution

The fourth proportional to 3,390.76, 5,082.09 and 1,927.90 is: 2,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.76 : 5,082.09 = 1,927.90 : x
  2. Step 2: Convert to fraction form
    3,390.76/5,082.09 = 1,927.90/x
  3. Step 3: Cross multiply
    3,390.76x = 5,082.09 × 1,927.90
  4. Step 4: Simplify right side
    3,390.76x = 9,797,761.31
  5. Step 5: Solve for x
    x = 9,797,761.31/3,390.76
  6. Step 6: Final answer
    x = 2,889.55

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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.