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Finding the Fourth Proportional to 3,976.86, 5,956.21 and 1,898.33

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Solution

The fourth proportional to 3,976.86, 5,956.21 and 1,898.33 is: 2,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.86 : 5,956.21 = 1,898.33 : x
  2. Step 2: Convert to fraction form
    3,976.86/5,956.21 = 1,898.33/x
  3. Step 3: Cross multiply
    3,976.86x = 5,956.21 × 1,898.33
  4. Step 4: Simplify right side
    3,976.86x = 11,306,858.22
  5. Step 5: Solve for x
    x = 11,306,858.22/3,976.86
  6. Step 6: Final answer
    x = 2,843.16

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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.