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Finding the Fourth Proportional to 2,786.40, 4,177.71 and 2,238.44

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Solution

The fourth proportional to 2,786.40, 4,177.71 and 2,238.44 is: 3,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.40 : 4,177.71 = 2,238.44 : x
  2. Step 2: Convert to fraction form
    2,786.40/4,177.71 = 2,238.44/x
  3. Step 3: Cross multiply
    2,786.40x = 4,177.71 × 2,238.44
  4. Step 4: Simplify right side
    2,786.40x = 9,351,532.28
  5. Step 5: Solve for x
    x = 9,351,532.28/2,786.40
  6. Step 6: Final answer
    x = 3,356.13

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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.