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Finding the Fourth Proportional to 6,489, 8,954.83 and 3,694.50

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Solution

The fourth proportional to 6,489, 8,954.83 and 3,694.50 is: 5,098.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489 : 8,954.83 = 3,694.50 : x
  2. Step 2: Convert to fraction form
    6,489/8,954.83 = 3,694.50/x
  3. Step 3: Cross multiply
    6,489x = 8,954.83 × 3,694.50
  4. Step 4: Simplify right side
    6,489x = 33,083,619.44
  5. Step 5: Solve for x
    x = 33,083,619.44/6,489
  6. Step 6: Final answer
    x = 5,098.42

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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.