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Finding the Fourth Proportional to 6,366, 8,785.20 and 3,571.44

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Solution

The fourth proportional to 6,366, 8,785.20 and 3,571.44 is: 4,928.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366 : 8,785.20 = 3,571.44 : x
  2. Step 2: Convert to fraction form
    6,366/8,785.20 = 3,571.44/x
  3. Step 3: Cross multiply
    6,366x = 8,785.20 × 3,571.44
  4. Step 4: Simplify right side
    6,366x = 31,375,814.69
  5. Step 5: Solve for x
    x = 31,375,814.69/6,366
  6. Step 6: Final answer
    x = 4,928.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.