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Finding the Fourth Proportional to 6,489.41, 9,732.49 and 2,108.12

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Solution

The fourth proportional to 6,489.41, 9,732.49 and 2,108.12 is: 3,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.41 : 9,732.49 = 2,108.12 : x
  2. Step 2: Convert to fraction form
    6,489.41/9,732.49 = 2,108.12/x
  3. Step 3: Cross multiply
    6,489.41x = 9,732.49 × 2,108.12
  4. Step 4: Simplify right side
    6,489.41x = 20,517,256.82
  5. Step 5: Solve for x
    x = 20,517,256.82/6,489.41
  6. Step 6: Final answer
    x = 3,161.65

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1.5x scale

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.