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Finding the Fourth Proportional to 3,518.81, 5,279 and 1,327.56

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Solution

The fourth proportional to 3,518.81, 5,279 and 1,327.56 is: 1,991.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.81 : 5,279 = 1,327.56 : x
  2. Step 2: Convert to fraction form
    3,518.81/5,279 = 1,327.56/x
  3. Step 3: Cross multiply
    3,518.81x = 5,279 × 1,327.56
  4. Step 4: Simplify right side
    3,518.81x = 7,008,189.24
  5. Step 5: Solve for x
    x = 7,008,189.24/3,518.81
  6. Step 6: Final answer
    x = 1,991.64

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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.