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Finding the Fourth Proportional to 2,750.78, 3,796.09 and 1,491.84

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Solution

The fourth proportional to 2,750.78, 3,796.09 and 1,491.84 is: 2,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.78 : 3,796.09 = 1,491.84 : x
  2. Step 2: Convert to fraction form
    2,750.78/3,796.09 = 1,491.84/x
  3. Step 3: Cross multiply
    2,750.78x = 3,796.09 × 1,491.84
  4. Step 4: Simplify right side
    2,750.78x = 5,663,158.91
  5. Step 5: Solve for x
    x = 5,663,158.91/2,750.78
  6. Step 6: Final answer
    x = 2,058.75

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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.