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Finding the Fourth Proportional to 6,480.30, 9,721.86 and 2,098.20

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Solution

The fourth proportional to 6,480.30, 9,721.86 and 2,098.20 is: 3,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.30 : 9,721.86 = 2,098.20 : x
  2. Step 2: Convert to fraction form
    6,480.30/9,721.86 = 2,098.20/x
  3. Step 3: Cross multiply
    6,480.30x = 9,721.86 × 2,098.20
  4. Step 4: Simplify right side
    6,480.30x = 20,398,406.65
  5. Step 5: Solve for x
    x = 20,398,406.65/6,480.30
  6. Step 6: Final answer
    x = 3,147.76

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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.