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Finding the Fourth Proportional to 3,836, 5,293.92 and 2,180

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Solution

The fourth proportional to 3,836, 5,293.92 and 2,180 is: 3,008.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836 : 5,293.92 = 2,180 : x
  2. Step 2: Convert to fraction form
    3,836/5,293.92 = 2,180/x
  3. Step 3: Cross multiply
    3,836x = 5,293.92 × 2,180
  4. Step 4: Simplify right side
    3,836x = 11,540,745.60
  5. Step 5: Solve for x
    x = 11,540,745.60/3,836
  6. Step 6: Final answer
    x = 3,008.54

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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.