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Finding the Fourth Proportional to 3,849, 5,775.84 and 1,540.68

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Solution

The fourth proportional to 3,849, 5,775.84 and 1,540.68 is: 2,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849 : 5,775.84 = 1,540.68 : x
  2. Step 2: Convert to fraction form
    3,849/5,775.84 = 1,540.68/x
  3. Step 3: Cross multiply
    3,849x = 5,775.84 × 1,540.68
  4. Step 4: Simplify right side
    3,849x = 8,898,721.17
  5. Step 5: Solve for x
    x = 8,898,721.17/3,849
  6. Step 6: Final answer
    x = 2,311.96

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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.