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Finding the Fourth Proportional to 3,786.94, 5,680.22 and 1,189.82

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Solution

The fourth proportional to 3,786.94, 5,680.22 and 1,189.82 is: 1,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.94 : 5,680.22 = 1,189.82 : x
  2. Step 2: Convert to fraction form
    3,786.94/5,680.22 = 1,189.82/x
  3. Step 3: Cross multiply
    3,786.94x = 5,680.22 × 1,189.82
  4. Step 4: Simplify right side
    3,786.94x = 6,758,439.36
  5. Step 5: Solve for x
    x = 6,758,439.36/3,786.94
  6. Step 6: Final answer
    x = 1,784.67

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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.