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Finding the Fourth Proportional to 6,491.75, 9,738.30 and 3,201.68

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Solution

The fourth proportional to 6,491.75, 9,738.30 and 3,201.68 is: 4,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.75 : 9,738.30 = 3,201.68 : x
  2. Step 2: Convert to fraction form
    6,491.75/9,738.30 = 3,201.68/x
  3. Step 3: Cross multiply
    6,491.75x = 9,738.30 × 3,201.68
  4. Step 4: Simplify right side
    6,491.75x = 31,178,871.65
  5. Step 5: Solve for x
    x = 31,178,871.65/6,491.75
  6. Step 6: Final answer
    x = 4,802.85

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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.