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Finding the Fourth Proportional to 6,956.80, 9,600.41 and 3,770.10

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Solution

The fourth proportional to 6,956.80, 9,600.41 and 3,770.10 is: 5,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.80 : 9,600.41 = 3,770.10 : x
  2. Step 2: Convert to fraction form
    6,956.80/9,600.41 = 3,770.10/x
  3. Step 3: Cross multiply
    6,956.80x = 9,600.41 × 3,770.10
  4. Step 4: Simplify right side
    6,956.80x = 36,194,505.74
  5. Step 5: Solve for x
    x = 36,194,505.74/6,956.80
  6. Step 6: Final answer
    x = 5,202.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.