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Finding the Fourth Proportional to 3,563.07, 4,916.96 and 1,991.31

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Solution

The fourth proportional to 3,563.07, 4,916.96 and 1,991.31 is: 2,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.07 : 4,916.96 = 1,991.31 : x
  2. Step 2: Convert to fraction form
    3,563.07/4,916.96 = 1,991.31/x
  3. Step 3: Cross multiply
    3,563.07x = 4,916.96 × 1,991.31
  4. Step 4: Simplify right side
    3,563.07x = 9,791,181.66
  5. Step 5: Solve for x
    x = 9,791,181.66/3,563.07
  6. Step 6: Final answer
    x = 2,747.96

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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.