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Finding the Fourth Proportional to 6,392.40, 9,591 and 3,105.24

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Solution

The fourth proportional to 6,392.40, 9,591 and 3,105.24 is: 4,659.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.40 : 9,591 = 3,105.24 : x
  2. Step 2: Convert to fraction form
    6,392.40/9,591 = 3,105.24/x
  3. Step 3: Cross multiply
    6,392.40x = 9,591 × 3,105.24
  4. Step 4: Simplify right side
    6,392.40x = 29,782,356.84
  5. Step 5: Solve for x
    x = 29,782,356.84/6,392.40
  6. Step 6: Final answer
    x = 4,659.03

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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.