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Finding the Fourth Proportional to 7,861.38, 10,850.25 and 4,506.44

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Solution

The fourth proportional to 7,861.38, 10,850.25 and 4,506.44 is: 6,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.38 : 10,850.25 = 4,506.44 : x
  2. Step 2: Convert to fraction form
    7,861.38/10,850.25 = 4,506.44/x
  3. Step 3: Cross multiply
    7,861.38x = 10,850.25 × 4,506.44
  4. Step 4: Simplify right side
    7,861.38x = 48,895,998.94
  5. Step 5: Solve for x
    x = 48,895,998.94/7,861.38
  6. Step 6: Final answer
    x = 6,219.78

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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.