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Finding the Fourth Proportional to 3,720.82, 5,581.20 and 1,255.62

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Solution

The fourth proportional to 3,720.82, 5,581.20 and 1,255.62 is: 1,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.82 : 5,581.20 = 1,255.62 : x
  2. Step 2: Convert to fraction form
    3,720.82/5,581.20 = 1,255.62/x
  3. Step 3: Cross multiply
    3,720.82x = 5,581.20 × 1,255.62
  4. Step 4: Simplify right side
    3,720.82x = 7,007,866.34
  5. Step 5: Solve for x
    x = 7,007,866.34/3,720.82
  6. Step 6: Final answer
    x = 1,883.42

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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.