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Finding the Fourth Proportional to 3,781.16, 5,661.74 and 2,961.08

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Solution

The fourth proportional to 3,781.16, 5,661.74 and 2,961.08 is: 4,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.16 : 5,661.74 = 2,961.08 : x
  2. Step 2: Convert to fraction form
    3,781.16/5,661.74 = 2,961.08/x
  3. Step 3: Cross multiply
    3,781.16x = 5,661.74 × 2,961.08
  4. Step 4: Simplify right side
    3,781.16x = 16,764,865.08
  5. Step 5: Solve for x
    x = 16,764,865.08/3,781.16
  6. Step 6: Final answer
    x = 4,433.79

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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.