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Finding the Fourth Proportional to 2,011.92, 3,012.98 and 1,393.88

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Solution

The fourth proportional to 2,011.92, 3,012.98 and 1,393.88 is: 2,087.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.92 : 3,012.98 = 1,393.88 : x
  2. Step 2: Convert to fraction form
    2,011.92/3,012.98 = 1,393.88/x
  3. Step 3: Cross multiply
    2,011.92x = 3,012.98 × 1,393.88
  4. Step 4: Simplify right side
    2,011.92x = 4,199,732.56
  5. Step 5: Solve for x
    x = 4,199,732.56/2,011.92
  6. Step 6: Final answer
    x = 2,087.43

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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.