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Finding the Fourth Proportional to 2,549.56, 3,816.40 and 1,963.05

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Solution

The fourth proportional to 2,549.56, 3,816.40 and 1,963.05 is: 2,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.56 : 3,816.40 = 1,963.05 : x
  2. Step 2: Convert to fraction form
    2,549.56/3,816.40 = 1,963.05/x
  3. Step 3: Cross multiply
    2,549.56x = 3,816.40 × 1,963.05
  4. Step 4: Simplify right side
    2,549.56x = 7,491,769.88
  5. Step 5: Solve for x
    x = 7,491,769.88/2,549.56
  6. Step 6: Final answer
    x = 2,938.45

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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.