Home / 2,157.15-3,233.96-769.70

Finding the Fourth Proportional to 2,157.15, 3,233.96 and 769.70

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Solution

The fourth proportional to 2,157.15, 3,233.96 and 769.70 is: 1,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.15 : 3,233.96 = 769.70 : x
  2. Step 2: Convert to fraction form
    2,157.15/3,233.96 = 769.70/x
  3. Step 3: Cross multiply
    2,157.15x = 3,233.96 × 769.70
  4. Step 4: Simplify right side
    2,157.15x = 2,489,183.25
  5. Step 5: Solve for x
    x = 2,489,183.25/2,157.15
  6. Step 6: Final answer
    x = 1,153.92

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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.