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Finding the Fourth Proportional to 3,468.82, 5,200.38 and 1,619.02

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Solution

The fourth proportional to 3,468.82, 5,200.38 and 1,619.02 is: 2,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.82 : 5,200.38 = 1,619.02 : x
  2. Step 2: Convert to fraction form
    3,468.82/5,200.38 = 1,619.02/x
  3. Step 3: Cross multiply
    3,468.82x = 5,200.38 × 1,619.02
  4. Step 4: Simplify right side
    3,468.82x = 8,419,519.23
  5. Step 5: Solve for x
    x = 8,419,519.23/3,468.82
  6. Step 6: Final answer
    x = 2,427.20

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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.