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Finding the Fourth Proportional to 3,954.45, 5,930.82 and 1,489.44

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Solution

The fourth proportional to 3,954.45, 5,930.82 and 1,489.44 is: 2,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.45 : 5,930.82 = 1,489.44 : x
  2. Step 2: Convert to fraction form
    3,954.45/5,930.82 = 1,489.44/x
  3. Step 3: Cross multiply
    3,954.45x = 5,930.82 × 1,489.44
  4. Step 4: Simplify right side
    3,954.45x = 8,833,600.54
  5. Step 5: Solve for x
    x = 8,833,600.54/3,954.45
  6. Step 6: Final answer
    x = 2,233.84

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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.