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Finding the Fourth Proportional to 2,754.90, 3,800.18 and 2,007.98

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Solution

The fourth proportional to 2,754.90, 3,800.18 and 2,007.98 is: 2,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.90 : 3,800.18 = 2,007.98 : x
  2. Step 2: Convert to fraction form
    2,754.90/3,800.18 = 2,007.98/x
  3. Step 3: Cross multiply
    2,754.90x = 3,800.18 × 2,007.98
  4. Step 4: Simplify right side
    2,754.90x = 7,630,685.44
  5. Step 5: Solve for x
    x = 7,630,685.44/2,754.90
  6. Step 6: Final answer
    x = 2,769.86

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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.