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Finding the Fourth Proportional to 3,849.54, 5,774.31 and 1,540.50

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Solution

The fourth proportional to 3,849.54, 5,774.31 and 1,540.50 is: 2,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.54 : 5,774.31 = 1,540.50 : x
  2. Step 2: Convert to fraction form
    3,849.54/5,774.31 = 1,540.50/x
  3. Step 3: Cross multiply
    3,849.54x = 5,774.31 × 1,540.50
  4. Step 4: Simplify right side
    3,849.54x = 8,895,324.56
  5. Step 5: Solve for x
    x = 8,895,324.56/3,849.54
  6. Step 6: Final answer
    x = 2,310.75

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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.