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Finding the Fourth Proportional to 3,449.00, 5,170.25 and 1,906.76

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Solution

The fourth proportional to 3,449.00, 5,170.25 and 1,906.76 is: 2,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.00 : 5,170.25 = 1,906.76 : x
  2. Step 2: Convert to fraction form
    3,449.00/5,170.25 = 1,906.76/x
  3. Step 3: Cross multiply
    3,449.00x = 5,170.25 × 1,906.76
  4. Step 4: Simplify right side
    3,449.00x = 9,858,390.50
  5. Step 5: Solve for x
    x = 9,858,390.50/3,449.00
  6. Step 6: Final answer
    x = 2,858.34

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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.