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Finding the Fourth Proportional to 6,847, 10,269.47 and 1,916

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Solution

The fourth proportional to 6,847, 10,269.47 and 1,916 is: 2,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847 : 10,269.47 = 1,916 : x
  2. Step 2: Convert to fraction form
    6,847/10,269.47 = 1,916/x
  3. Step 3: Cross multiply
    6,847x = 10,269.47 × 1,916
  4. Step 4: Simplify right side
    6,847x = 19,676,304.52
  5. Step 5: Solve for x
    x = 19,676,304.52/6,847
  6. Step 6: Final answer
    x = 2,873.71

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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.