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Finding the Fourth Proportional to 6,956, 9,599.40 and 3,812

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Solution

The fourth proportional to 6,956, 9,599.40 and 3,812 is: 5,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956 : 9,599.40 = 3,812 : x
  2. Step 2: Convert to fraction form
    6,956/9,599.40 = 3,812/x
  3. Step 3: Cross multiply
    6,956x = 9,599.40 × 3,812
  4. Step 4: Simplify right side
    6,956x = 36,592,912.80
  5. Step 5: Solve for x
    x = 36,592,912.80/6,956
  6. Step 6: Final answer
    x = 5,260.63

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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.