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Finding the Fourth Proportional to 3,893.22, 5,370.93 and 2,828.43

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Solution

The fourth proportional to 3,893.22, 5,370.93 and 2,828.43 is: 3,901.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.22 : 5,370.93 = 2,828.43 : x
  2. Step 2: Convert to fraction form
    3,893.22/5,370.93 = 2,828.43/x
  3. Step 3: Cross multiply
    3,893.22x = 5,370.93 × 2,828.43
  4. Step 4: Simplify right side
    3,893.22x = 15,191,299.54
  5. Step 5: Solve for x
    x = 15,191,299.54/3,893.22
  6. Step 6: Final answer
    x = 3,901.99

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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.