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Finding the Fourth Proportional to 6,489.99, 9,738.05 and 3,862.68

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Solution

The fourth proportional to 6,489.99, 9,738.05 and 3,862.68 is: 5,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.99 : 9,738.05 = 3,862.68 : x
  2. Step 2: Convert to fraction form
    6,489.99/9,738.05 = 3,862.68/x
  3. Step 3: Cross multiply
    6,489.99x = 9,738.05 × 3,862.68
  4. Step 4: Simplify right side
    6,489.99x = 37,614,951.66
  5. Step 5: Solve for x
    x = 37,614,951.66/6,489.99
  6. Step 6: Final answer
    x = 5,795.84

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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.