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Finding the Fourth Proportional to 3,901.94, 5,384.31 and 2,223.31

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Solution

The fourth proportional to 3,901.94, 5,384.31 and 2,223.31 is: 3,067.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.94 : 5,384.31 = 2,223.31 : x
  2. Step 2: Convert to fraction form
    3,901.94/5,384.31 = 2,223.31/x
  3. Step 3: Cross multiply
    3,901.94x = 5,384.31 × 2,223.31
  4. Step 4: Simplify right side
    3,901.94x = 11,970,991.07
  5. Step 5: Solve for x
    x = 11,970,991.07/3,901.94
  6. Step 6: Final answer
    x = 3,067.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.