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Finding the Fourth Proportional to 3,667, 5,499.54 and 2,129.08

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Solution

The fourth proportional to 3,667, 5,499.54 and 2,129.08 is: 3,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667 : 5,499.54 = 2,129.08 : x
  2. Step 2: Convert to fraction form
    3,667/5,499.54 = 2,129.08/x
  3. Step 3: Cross multiply
    3,667x = 5,499.54 × 2,129.08
  4. Step 4: Simplify right side
    3,667x = 11,708,960.62
  5. Step 5: Solve for x
    x = 11,708,960.62/3,667
  6. Step 6: Final answer
    x = 3,193.06

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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.