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Finding the Fourth Proportional to 2,520.80, 3,781.20 and 960.44

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Solution

The fourth proportional to 2,520.80, 3,781.20 and 960.44 is: 1,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.80 : 3,781.20 = 960.44 : x
  2. Step 2: Convert to fraction form
    2,520.80/3,781.20 = 960.44/x
  3. Step 3: Cross multiply
    2,520.80x = 3,781.20 × 960.44
  4. Step 4: Simplify right side
    2,520.80x = 3,631,615.73
  5. Step 5: Solve for x
    x = 3,631,615.73/2,520.80
  6. Step 6: Final answer
    x = 1,440.66

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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.