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Finding the Fourth Proportional to 3,467.50, 5,200.98 and 1,519.18

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Solution

The fourth proportional to 3,467.50, 5,200.98 and 1,519.18 is: 2,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.50 : 5,200.98 = 1,519.18 : x
  2. Step 2: Convert to fraction form
    3,467.50/5,200.98 = 1,519.18/x
  3. Step 3: Cross multiply
    3,467.50x = 5,200.98 × 1,519.18
  4. Step 4: Simplify right side
    3,467.50x = 7,901,224.80
  5. Step 5: Solve for x
    x = 7,901,224.80/3,467.50
  6. Step 6: Final answer
    x = 2,278.65

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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.