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Finding the Fourth Proportional to 3,371.90, 5,057.84 and 906.72

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Solution

The fourth proportional to 3,371.90, 5,057.84 and 906.72 is: 1,360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.90 : 5,057.84 = 906.72 : x
  2. Step 2: Convert to fraction form
    3,371.90/5,057.84 = 906.72/x
  3. Step 3: Cross multiply
    3,371.90x = 5,057.84 × 906.72
  4. Step 4: Simplify right side
    3,371.90x = 4,586,022.88
  5. Step 5: Solve for x
    x = 4,586,022.88/3,371.90
  6. Step 6: Final answer
    x = 1,360.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.