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Finding the Fourth Proportional to 3,964.85, 5,945.60 and 1,772.38

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Solution

The fourth proportional to 3,964.85, 5,945.60 and 1,772.38 is: 2,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.85 : 5,945.60 = 1,772.38 : x
  2. Step 2: Convert to fraction form
    3,964.85/5,945.60 = 1,772.38/x
  3. Step 3: Cross multiply
    3,964.85x = 5,945.60 × 1,772.38
  4. Step 4: Simplify right side
    3,964.85x = 10,537,874.39
  5. Step 5: Solve for x
    x = 10,537,874.39/3,964.85
  6. Step 6: Final answer
    x = 2,657.83

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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.