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Finding the Fourth Proportional to 3,786.44, 5,679.71 and 1,189.38

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Solution

The fourth proportional to 3,786.44, 5,679.71 and 1,189.38 is: 1,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.44 : 5,679.71 = 1,189.38 : x
  2. Step 2: Convert to fraction form
    3,786.44/5,679.71 = 1,189.38/x
  3. Step 3: Cross multiply
    3,786.44x = 5,679.71 × 1,189.38
  4. Step 4: Simplify right side
    3,786.44x = 6,755,302.11
  5. Step 5: Solve for x
    x = 6,755,302.11/3,786.44
  6. Step 6: Final answer
    x = 1,784.08

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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.