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Finding the Fourth Proportional to 6,956, 9,599.28 and 3,812.20

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Solution

The fourth proportional to 6,956, 9,599.28 and 3,812.20 is: 5,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956 : 9,599.28 = 3,812.20 : x
  2. Step 2: Convert to fraction form
    6,956/9,599.28 = 3,812.20/x
  3. Step 3: Cross multiply
    6,956x = 9,599.28 × 3,812.20
  4. Step 4: Simplify right side
    6,956x = 36,594,375.22
  5. Step 5: Solve for x
    x = 36,594,375.22/6,956
  6. Step 6: Final answer
    x = 5,260.84

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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.