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Finding the Fourth Proportional to 3,791.64, 5,678.61 and 3,660.26

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Solution

The fourth proportional to 3,791.64, 5,678.61 and 3,660.26 is: 5,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.64 : 5,678.61 = 3,660.26 : x
  2. Step 2: Convert to fraction form
    3,791.64/5,678.61 = 3,660.26/x
  3. Step 3: Cross multiply
    3,791.64x = 5,678.61 × 3,660.26
  4. Step 4: Simplify right side
    3,791.64x = 20,785,160.65
  5. Step 5: Solve for x
    x = 20,785,160.65/3,791.64
  6. Step 6: Final answer
    x = 5,481.84

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1.5x scale

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.