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Finding the Fourth Proportional to 6,489.44, 9,732.11 and 2,105.99

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Solution

The fourth proportional to 6,489.44, 9,732.11 and 2,105.99 is: 3,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.44 : 9,732.11 = 2,105.99 : x
  2. Step 2: Convert to fraction form
    6,489.44/9,732.11 = 2,105.99/x
  3. Step 3: Cross multiply
    6,489.44x = 9,732.11 × 2,105.99
  4. Step 4: Simplify right side
    6,489.44x = 20,495,667.15
  5. Step 5: Solve for x
    x = 20,495,667.15/6,489.44
  6. Step 6: Final answer
    x = 3,158.31

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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.