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Finding the Fourth Proportional to 3,645.81, 5,469.12 and 1,180.17

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Solution

The fourth proportional to 3,645.81, 5,469.12 and 1,180.17 is: 1,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.81 : 5,469.12 = 1,180.17 : x
  2. Step 2: Convert to fraction form
    3,645.81/5,469.12 = 1,180.17/x
  3. Step 3: Cross multiply
    3,645.81x = 5,469.12 × 1,180.17
  4. Step 4: Simplify right side
    3,645.81x = 6,454,491.35
  5. Step 5: Solve for x
    x = 6,454,491.35/3,645.81
  6. Step 6: Final answer
    x = 1,770.39

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1.5x scale

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.