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Finding the Fourth Proportional to 3,828.82, 5,744.88 and 1,490.44

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Solution

The fourth proportional to 3,828.82, 5,744.88 and 1,490.44 is: 2,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.82 : 5,744.88 = 1,490.44 : x
  2. Step 2: Convert to fraction form
    3,828.82/5,744.88 = 1,490.44/x
  3. Step 3: Cross multiply
    3,828.82x = 5,744.88 × 1,490.44
  4. Step 4: Simplify right side
    3,828.82x = 8,562,398.95
  5. Step 5: Solve for x
    x = 8,562,398.95/3,828.82
  6. Step 6: Final answer
    x = 2,236.30

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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.