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Finding the Fourth Proportional to 3,786.91, 5,680.43 and 1,838.63

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Solution

The fourth proportional to 3,786.91, 5,680.43 and 1,838.63 is: 2,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.91 : 5,680.43 = 1,838.63 : x
  2. Step 2: Convert to fraction form
    3,786.91/5,680.43 = 1,838.63/x
  3. Step 3: Cross multiply
    3,786.91x = 5,680.43 × 1,838.63
  4. Step 4: Simplify right side
    3,786.91x = 10,444,209.01
  5. Step 5: Solve for x
    x = 10,444,209.01/3,786.91
  6. Step 6: Final answer
    x = 2,757.98

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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.