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Finding the Fourth Proportional to 3,679.06, 5,520.06 and 1,731.40

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Solution

The fourth proportional to 3,679.06, 5,520.06 and 1,731.40 is: 2,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.06 : 5,520.06 = 1,731.40 : x
  2. Step 2: Convert to fraction form
    3,679.06/5,520.06 = 1,731.40/x
  3. Step 3: Cross multiply
    3,679.06x = 5,520.06 × 1,731.40
  4. Step 4: Simplify right side
    3,679.06x = 9,557,431.88
  5. Step 5: Solve for x
    x = 9,557,431.88/3,679.06
  6. Step 6: Final answer
    x = 2,597.79

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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.