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Finding the Fourth Proportional to 6,491.92, 9,730.58 and 3,198.04

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Solution

The fourth proportional to 6,491.92, 9,730.58 and 3,198.04 is: 4,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.92 : 9,730.58 = 3,198.04 : x
  2. Step 2: Convert to fraction form
    6,491.92/9,730.58 = 3,198.04/x
  3. Step 3: Cross multiply
    6,491.92x = 9,730.58 × 3,198.04
  4. Step 4: Simplify right side
    6,491.92x = 31,118,784.06
  5. Step 5: Solve for x
    x = 31,118,784.06/6,491.92
  6. Step 6: Final answer
    x = 4,793.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.