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Finding the Fourth Proportional to 2,221.64, 3,330.42 and 759.77

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Solution

The fourth proportional to 2,221.64, 3,330.42 and 759.77 is: 1,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.64 : 3,330.42 = 759.77 : x
  2. Step 2: Convert to fraction form
    2,221.64/3,330.42 = 759.77/x
  3. Step 3: Cross multiply
    2,221.64x = 3,330.42 × 759.77
  4. Step 4: Simplify right side
    2,221.64x = 2,530,353.20
  5. Step 5: Solve for x
    x = 2,530,353.20/2,221.64
  6. Step 6: Final answer
    x = 1,138.96

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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.