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Finding the Fourth Proportional to 6,489.24, 9,733.79 and 2,540.87

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Solution

The fourth proportional to 6,489.24, 9,733.79 and 2,540.87 is: 3,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.24 : 9,733.79 = 2,540.87 : x
  2. Step 2: Convert to fraction form
    6,489.24/9,733.79 = 2,540.87/x
  3. Step 3: Cross multiply
    6,489.24x = 9,733.79 × 2,540.87
  4. Step 4: Simplify right side
    6,489.24x = 24,732,233.62
  5. Step 5: Solve for x
    x = 24,732,233.62/6,489.24
  6. Step 6: Final answer
    x = 3,811.27

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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.