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Finding the Fourth Proportional to 3,043.11, 4,563.01 and 962.53

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Solution

The fourth proportional to 3,043.11, 4,563.01 and 962.53 is: 1,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.11 : 4,563.01 = 962.53 : x
  2. Step 2: Convert to fraction form
    3,043.11/4,563.01 = 962.53/x
  3. Step 3: Cross multiply
    3,043.11x = 4,563.01 × 962.53
  4. Step 4: Simplify right side
    3,043.11x = 4,392,020.20
  5. Step 5: Solve for x
    x = 4,392,020.20/3,043.11
  6. Step 6: Final answer
    x = 1,443.27

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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.