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Finding the Fourth Proportional to 3,373, 5,059.50 and 1,181.23

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Solution

The fourth proportional to 3,373, 5,059.50 and 1,181.23 is: 1,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,373 : 5,059.50 = 1,181.23 : x
  2. Step 2: Convert to fraction form
    3,373/5,059.50 = 1,181.23/x
  3. Step 3: Cross multiply
    3,373x = 5,059.50 × 1,181.23
  4. Step 4: Simplify right side
    3,373x = 5,976,433.19
  5. Step 5: Solve for x
    x = 5,976,433.19/3,373
  6. Step 6: Final answer
    x = 1,771.85

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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.