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Finding the Fourth Proportional to 6,611.96, 9,916.86 and 2,229.32

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Solution

The fourth proportional to 6,611.96, 9,916.86 and 2,229.32 is: 3,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.96 : 9,916.86 = 2,229.32 : x
  2. Step 2: Convert to fraction form
    6,611.96/9,916.86 = 2,229.32/x
  3. Step 3: Cross multiply
    6,611.96x = 9,916.86 × 2,229.32
  4. Step 4: Simplify right side
    6,611.96x = 22,107,854.34
  5. Step 5: Solve for x
    x = 22,107,854.34/6,611.96
  6. Step 6: Final answer
    x = 3,343.62

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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.