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Finding the Fourth Proportional to 3,481.59, 5,219.19 and 1,505.99

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Solution

The fourth proportional to 3,481.59, 5,219.19 and 1,505.99 is: 2,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.59 : 5,219.19 = 1,505.99 : x
  2. Step 2: Convert to fraction form
    3,481.59/5,219.19 = 1,505.99/x
  3. Step 3: Cross multiply
    3,481.59x = 5,219.19 × 1,505.99
  4. Step 4: Simplify right side
    3,481.59x = 7,860,021.85
  5. Step 5: Solve for x
    x = 7,860,021.85/3,481.59
  6. Step 6: Final answer
    x = 2,257.60

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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.