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Finding the Fourth Proportional to 6,940.44, 10,462.38 and 6,489

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Solution

The fourth proportional to 6,940.44, 10,462.38 and 6,489 is: 9,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.44 : 10,462.38 = 6,489 : x
  2. Step 2: Convert to fraction form
    6,940.44/10,462.38 = 6,489/x
  3. Step 3: Cross multiply
    6,940.44x = 10,462.38 × 6,489
  4. Step 4: Simplify right side
    6,940.44x = 67,890,383.82
  5. Step 5: Solve for x
    x = 67,890,383.82/6,940.44
  6. Step 6: Final answer
    x = 9,781.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.