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Finding the Fourth Proportional to 6,489.28, 9,733.92 and 3,025.72

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Solution

The fourth proportional to 6,489.28, 9,733.92 and 3,025.72 is: 4,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.28 : 9,733.92 = 3,025.72 : x
  2. Step 2: Convert to fraction form
    6,489.28/9,733.92 = 3,025.72/x
  3. Step 3: Cross multiply
    6,489.28x = 9,733.92 × 3,025.72
  4. Step 4: Simplify right side
    6,489.28x = 29,452,116.42
  5. Step 5: Solve for x
    x = 29,452,116.42/6,489.28
  6. Step 6: Final answer
    x = 4,538.58

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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.