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Finding the Fourth Proportional to 6,876, 9,491.24 and 4,636.44

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Solution

The fourth proportional to 6,876, 9,491.24 and 4,636.44 is: 6,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876 : 9,491.24 = 4,636.44 : x
  2. Step 2: Convert to fraction form
    6,876/9,491.24 = 4,636.44/x
  3. Step 3: Cross multiply
    6,876x = 9,491.24 × 4,636.44
  4. Step 4: Simplify right side
    6,876x = 44,005,564.79
  5. Step 5: Solve for x
    x = 44,005,564.79/6,876
  6. Step 6: Final answer
    x = 6,399.88

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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.