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Finding the Fourth Proportional to 3,645.61, 5,469.20 and 1,180.68

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Solution

The fourth proportional to 3,645.61, 5,469.20 and 1,180.68 is: 1,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.61 : 5,469.20 = 1,180.68 : x
  2. Step 2: Convert to fraction form
    3,645.61/5,469.20 = 1,180.68/x
  3. Step 3: Cross multiply
    3,645.61x = 5,469.20 × 1,180.68
  4. Step 4: Simplify right side
    3,645.61x = 6,457,375.06
  5. Step 5: Solve for x
    x = 6,457,375.06/3,645.61
  6. Step 6: Final answer
    x = 1,771.27

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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.