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Finding the Fourth Proportional to 2,380.77, 3,571.29 and 820.85

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Solution

The fourth proportional to 2,380.77, 3,571.29 and 820.85 is: 1,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.77 : 3,571.29 = 820.85 : x
  2. Step 2: Convert to fraction form
    2,380.77/3,571.29 = 820.85/x
  3. Step 3: Cross multiply
    2,380.77x = 3,571.29 × 820.85
  4. Step 4: Simplify right side
    2,380.77x = 2,931,475.54
  5. Step 5: Solve for x
    x = 2,931,475.54/2,380.77
  6. Step 6: Final answer
    x = 1,231.31

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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.