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Finding the Fourth Proportional to 3,976.76, 5,956.06 and 1,898.23

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Solution

The fourth proportional to 3,976.76, 5,956.06 and 1,898.23 is: 2,843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.76 : 5,956.06 = 1,898.23 : x
  2. Step 2: Convert to fraction form
    3,976.76/5,956.06 = 1,898.23/x
  3. Step 3: Cross multiply
    3,976.76x = 5,956.06 × 1,898.23
  4. Step 4: Simplify right side
    3,976.76x = 11,305,965.98
  5. Step 5: Solve for x
    x = 11,305,965.98/3,976.76
  6. Step 6: Final answer
    x = 2,843.01

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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.