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Finding the Fourth Proportional to 2,750.80, 3,796.05 and 1,491.82

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Solution

The fourth proportional to 2,750.80, 3,796.05 and 1,491.82 is: 2,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.80 : 3,796.05 = 1,491.82 : x
  2. Step 2: Convert to fraction form
    2,750.80/3,796.05 = 1,491.82/x
  3. Step 3: Cross multiply
    2,750.80x = 3,796.05 × 1,491.82
  4. Step 4: Simplify right side
    2,750.80x = 5,663,023.31
  5. Step 5: Solve for x
    x = 5,663,023.31/2,750.80
  6. Step 6: Final answer
    x = 2,058.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.