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Finding the Fourth Proportional to 3,481.50, 5,222.52 and 1,173

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Solution

The fourth proportional to 3,481.50, 5,222.52 and 1,173 is: 1,759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.50 : 5,222.52 = 1,173 : x
  2. Step 2: Convert to fraction form
    3,481.50/5,222.52 = 1,173/x
  3. Step 3: Cross multiply
    3,481.50x = 5,222.52 × 1,173
  4. Step 4: Simplify right side
    3,481.50x = 6,126,015.96
  5. Step 5: Solve for x
    x = 6,126,015.96/3,481.50
  6. Step 6: Final answer
    x = 1,759.59

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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.