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Finding the Fourth Proportional to 2,753.85, 3,800.82 and 1,635.45

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Solution

The fourth proportional to 2,753.85, 3,800.82 and 1,635.45 is: 2,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.85 : 3,800.82 = 1,635.45 : x
  2. Step 2: Convert to fraction form
    2,753.85/3,800.82 = 1,635.45/x
  3. Step 3: Cross multiply
    2,753.85x = 3,800.82 × 1,635.45
  4. Step 4: Simplify right side
    2,753.85x = 6,216,051.07
  5. Step 5: Solve for x
    x = 6,216,051.07/2,753.85
  6. Step 6: Final answer
    x = 2,257.22

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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.