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Finding the Fourth Proportional to 7,942.76, 11,906.04 and 6,464.92

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Solution

The fourth proportional to 7,942.76, 11,906.04 and 6,464.92 is: 9,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.76 : 11,906.04 = 6,464.92 : x
  2. Step 2: Convert to fraction form
    7,942.76/11,906.04 = 6,464.92/x
  3. Step 3: Cross multiply
    7,942.76x = 11,906.04 × 6,464.92
  4. Step 4: Simplify right side
    7,942.76x = 76,971,596.12
  5. Step 5: Solve for x
    x = 76,971,596.12/7,942.76
  6. Step 6: Final answer
    x = 9,690.79

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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.