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Finding the Fourth Proportional to 6,540.80, 9,811.22 and 1,610.55

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Solution

The fourth proportional to 6,540.80, 9,811.22 and 1,610.55 is: 2,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.80 : 9,811.22 = 1,610.55 : x
  2. Step 2: Convert to fraction form
    6,540.80/9,811.22 = 1,610.55/x
  3. Step 3: Cross multiply
    6,540.80x = 9,811.22 × 1,610.55
  4. Step 4: Simplify right side
    6,540.80x = 15,801,452.32
  5. Step 5: Solve for x
    x = 15,801,452.32/6,540.80
  6. Step 6: Final answer
    x = 2,415.83

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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.