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Finding the Fourth Proportional to 6,479.49, 9,718.62 and 2,099.82

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Solution

The fourth proportional to 6,479.49, 9,718.62 and 2,099.82 is: 3,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.49 : 9,718.62 = 2,099.82 : x
  2. Step 2: Convert to fraction form
    6,479.49/9,718.62 = 2,099.82/x
  3. Step 3: Cross multiply
    6,479.49x = 9,718.62 × 2,099.82
  4. Step 4: Simplify right side
    6,479.49x = 20,407,352.65
  5. Step 5: Solve for x
    x = 20,407,352.65/6,479.49
  6. Step 6: Final answer
    x = 3,149.53

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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.