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Finding the Fourth Proportional to 3,479.94, 5,220.77 and 1,014.78

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Solution

The fourth proportional to 3,479.94, 5,220.77 and 1,014.78 is: 1,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.94 : 5,220.77 = 1,014.78 : x
  2. Step 2: Convert to fraction form
    3,479.94/5,220.77 = 1,014.78/x
  3. Step 3: Cross multiply
    3,479.94x = 5,220.77 × 1,014.78
  4. Step 4: Simplify right side
    3,479.94x = 5,297,906.88
  5. Step 5: Solve for x
    x = 5,297,906.88/3,479.94
  6. Step 6: Final answer
    x = 1,522.42

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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.