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Finding the Fourth Proportional to 3,838.78, 5,757.71 and 1,206.17

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Solution

The fourth proportional to 3,838.78, 5,757.71 and 1,206.17 is: 1,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.78 : 5,757.71 = 1,206.17 : x
  2. Step 2: Convert to fraction form
    3,838.78/5,757.71 = 1,206.17/x
  3. Step 3: Cross multiply
    3,838.78x = 5,757.71 × 1,206.17
  4. Step 4: Simplify right side
    3,838.78x = 6,944,785.43
  5. Step 5: Solve for x
    x = 6,944,785.43/3,838.78
  6. Step 6: Final answer
    x = 1,809.11

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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.