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Finding the Fourth Proportional to 3,645.64, 5,469.32 and 1,180.46

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Solution

The fourth proportional to 3,645.64, 5,469.32 and 1,180.46 is: 1,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.64 : 5,469.32 = 1,180.46 : x
  2. Step 2: Convert to fraction form
    3,645.64/5,469.32 = 1,180.46/x
  3. Step 3: Cross multiply
    3,645.64x = 5,469.32 × 1,180.46
  4. Step 4: Simplify right side
    3,645.64x = 6,456,289.09
  5. Step 5: Solve for x
    x = 6,456,289.09/3,645.64
  6. Step 6: Final answer
    x = 1,770.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.