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Finding the Fourth Proportional to 3,871.92, 5,342.79 and 2,193.33

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Solution

The fourth proportional to 3,871.92, 5,342.79 and 2,193.33 is: 3,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.92 : 5,342.79 = 2,193.33 : x
  2. Step 2: Convert to fraction form
    3,871.92/5,342.79 = 2,193.33/x
  3. Step 3: Cross multiply
    3,871.92x = 5,342.79 × 2,193.33
  4. Step 4: Simplify right side
    3,871.92x = 11,718,501.59
  5. Step 5: Solve for x
    x = 11,718,501.59/3,871.92
  6. Step 6: Final answer
    x = 3,026.54

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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.