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Finding the Fourth Proportional to 3,170.68, 4,755.66 and 862

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Solution

The fourth proportional to 3,170.68, 4,755.66 and 862 is: 1,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.68 : 4,755.66 = 862 : x
  2. Step 2: Convert to fraction form
    3,170.68/4,755.66 = 862/x
  3. Step 3: Cross multiply
    3,170.68x = 4,755.66 × 862
  4. Step 4: Simplify right side
    3,170.68x = 4,099,378.92
  5. Step 5: Solve for x
    x = 4,099,378.92/3,170.68
  6. Step 6: Final answer
    x = 1,292.90

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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.