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Finding the Fourth Proportional to 6,479.92, 9,718.80 and 2,096.74

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Solution

The fourth proportional to 6,479.92, 9,718.80 and 2,096.74 is: 3,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.92 : 9,718.80 = 2,096.74 : x
  2. Step 2: Convert to fraction form
    6,479.92/9,718.80 = 2,096.74/x
  3. Step 3: Cross multiply
    6,479.92x = 9,718.80 × 2,096.74
  4. Step 4: Simplify right side
    6,479.92x = 20,377,796.71
  5. Step 5: Solve for x
    x = 20,377,796.71/6,479.92
  6. Step 6: Final answer
    x = 3,144.76

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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.