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Finding the Fourth Proportional to 3,765.69, 5,648.19 and 2,540.97

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Solution

The fourth proportional to 3,765.69, 5,648.19 and 2,540.97 is: 3,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.69 : 5,648.19 = 2,540.97 : x
  2. Step 2: Convert to fraction form
    3,765.69/5,648.19 = 2,540.97/x
  3. Step 3: Cross multiply
    3,765.69x = 5,648.19 × 2,540.97
  4. Step 4: Simplify right side
    3,765.69x = 14,351,881.34
  5. Step 5: Solve for x
    x = 14,351,881.34/3,765.69
  6. Step 6: Final answer
    x = 3,811.22

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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.