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Finding the Fourth Proportional to 2,517.41, 3,772.05 and 1,540.55

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Solution

The fourth proportional to 2,517.41, 3,772.05 and 1,540.55 is: 2,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.41 : 3,772.05 = 1,540.55 : x
  2. Step 2: Convert to fraction form
    2,517.41/3,772.05 = 1,540.55/x
  3. Step 3: Cross multiply
    2,517.41x = 3,772.05 × 1,540.55
  4. Step 4: Simplify right side
    2,517.41x = 5,811,031.63
  5. Step 5: Solve for x
    x = 5,811,031.63/2,517.41
  6. Step 6: Final answer
    x = 2,308.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.