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Finding the Fourth Proportional to 6,611.75, 9,921.41 and 2,664.81

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Solution

The fourth proportional to 6,611.75, 9,921.41 and 2,664.81 is: 3,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.75 : 9,921.41 = 2,664.81 : x
  2. Step 2: Convert to fraction form
    6,611.75/9,921.41 = 2,664.81/x
  3. Step 3: Cross multiply
    6,611.75x = 9,921.41 × 2,664.81
  4. Step 4: Simplify right side
    6,611.75x = 26,438,659.26
  5. Step 5: Solve for x
    x = 26,438,659.26/6,611.75
  6. Step 6: Final answer
    x = 3,998.74

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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.