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Finding the Fourth Proportional to 3,945.76, 5,922.44 and 3,009.44

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Solution

The fourth proportional to 3,945.76, 5,922.44 and 3,009.44 is: 4,517.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.76 : 5,922.44 = 3,009.44 : x
  2. Step 2: Convert to fraction form
    3,945.76/5,922.44 = 3,009.44/x
  3. Step 3: Cross multiply
    3,945.76x = 5,922.44 × 3,009.44
  4. Step 4: Simplify right side
    3,945.76x = 17,823,227.83
  5. Step 5: Solve for x
    x = 17,823,227.83/3,945.76
  6. Step 6: Final answer
    x = 4,517.06

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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.