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Finding the Fourth Proportional to 3,568.05, 5,351.13 and 1,619.82

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Solution

The fourth proportional to 3,568.05, 5,351.13 and 1,619.82 is: 2,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.05 : 5,351.13 = 1,619.82 : x
  2. Step 2: Convert to fraction form
    3,568.05/5,351.13 = 1,619.82/x
  3. Step 3: Cross multiply
    3,568.05x = 5,351.13 × 1,619.82
  4. Step 4: Simplify right side
    3,568.05x = 8,667,867.40
  5. Step 5: Solve for x
    x = 8,667,867.40/3,568.05
  6. Step 6: Final answer
    x = 2,429.30

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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.