Home / 3,170.46-4,755.78-979.20

Finding the Fourth Proportional to 3,170.46, 4,755.78 and 979.20

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Solution

The fourth proportional to 3,170.46, 4,755.78 and 979.20 is: 1,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.46 : 4,755.78 = 979.20 : x
  2. Step 2: Convert to fraction form
    3,170.46/4,755.78 = 979.20/x
  3. Step 3: Cross multiply
    3,170.46x = 4,755.78 × 979.20
  4. Step 4: Simplify right side
    3,170.46x = 4,656,859.78
  5. Step 5: Solve for x
    x = 4,656,859.78/3,170.46
  6. Step 6: Final answer
    x = 1,468.83

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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.