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Finding the Fourth Proportional to 4,960.89, 6,846.34 and 3,279.38

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Solution

The fourth proportional to 4,960.89, 6,846.34 and 3,279.38 is: 4,525.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.89 : 6,846.34 = 3,279.38 : x
  2. Step 2: Convert to fraction form
    4,960.89/6,846.34 = 3,279.38/x
  3. Step 3: Cross multiply
    4,960.89x = 6,846.34 × 3,279.38
  4. Step 4: Simplify right side
    4,960.89x = 22,451,750.47
  5. Step 5: Solve for x
    x = 22,451,750.47/4,960.89
  6. Step 6: Final answer
    x = 4,525.75

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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.