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Finding the Fourth Proportional to 3,744.44, 5,617.26 and 1,279

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Solution

The fourth proportional to 3,744.44, 5,617.26 and 1,279 is: 1,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.44 : 5,617.26 = 1,279 : x
  2. Step 2: Convert to fraction form
    3,744.44/5,617.26 = 1,279/x
  3. Step 3: Cross multiply
    3,744.44x = 5,617.26 × 1,279
  4. Step 4: Simplify right side
    3,744.44x = 7,184,475.54
  5. Step 5: Solve for x
    x = 7,184,475.54/3,744.44
  6. Step 6: Final answer
    x = 1,918.70

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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.