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Finding the Fourth Proportional to 2,961.11, 4,441.64 and 769.83

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Solution

The fourth proportional to 2,961.11, 4,441.64 and 769.83 is: 1,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.11 : 4,441.64 = 769.83 : x
  2. Step 2: Convert to fraction form
    2,961.11/4,441.64 = 769.83/x
  3. Step 3: Cross multiply
    2,961.11x = 4,441.64 × 769.83
  4. Step 4: Simplify right side
    2,961.11x = 3,419,303.87
  5. Step 5: Solve for x
    x = 3,419,303.87/2,961.11
  6. Step 6: Final answer
    x = 1,154.74

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1.5x scale

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.