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Finding the Fourth Proportional to 2,381.76, 3,571.80 and 920.76

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Solution

The fourth proportional to 2,381.76, 3,571.80 and 920.76 is: 1,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.76 : 3,571.80 = 920.76 : x
  2. Step 2: Convert to fraction form
    2,381.76/3,571.80 = 920.76/x
  3. Step 3: Cross multiply
    2,381.76x = 3,571.80 × 920.76
  4. Step 4: Simplify right side
    2,381.76x = 3,288,770.57
  5. Step 5: Solve for x
    x = 3,288,770.57/2,381.76
  6. Step 6: Final answer
    x = 1,380.82

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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.