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Finding the Fourth Proportional to 4,766.82, 7,151.19 and 1,479.78

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Solution

The fourth proportional to 4,766.82, 7,151.19 and 1,479.78 is: 2,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.82 : 7,151.19 = 1,479.78 : x
  2. Step 2: Convert to fraction form
    4,766.82/7,151.19 = 1,479.78/x
  3. Step 3: Cross multiply
    4,766.82x = 7,151.19 × 1,479.78
  4. Step 4: Simplify right side
    4,766.82x = 10,582,187.94
  5. Step 5: Solve for x
    x = 10,582,187.94/4,766.82
  6. Step 6: Final answer
    x = 2,219.97

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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.