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Finding the Fourth Proportional to 3,333.81, 4,991.48 and 1,682.28

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Solution

The fourth proportional to 3,333.81, 4,991.48 and 1,682.28 is: 2,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.81 : 4,991.48 = 1,682.28 : x
  2. Step 2: Convert to fraction form
    3,333.81/4,991.48 = 1,682.28/x
  3. Step 3: Cross multiply
    3,333.81x = 4,991.48 × 1,682.28
  4. Step 4: Simplify right side
    3,333.81x = 8,397,058.56
  5. Step 5: Solve for x
    x = 8,397,058.56/3,333.81
  6. Step 6: Final answer
    x = 2,518.76

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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.