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Finding the Fourth Proportional to 3,428.35, 5,142.53 and 963.27

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Solution

The fourth proportional to 3,428.35, 5,142.53 and 963.27 is: 1,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.35 : 5,142.53 = 963.27 : x
  2. Step 2: Convert to fraction form
    3,428.35/5,142.53 = 963.27/x
  3. Step 3: Cross multiply
    3,428.35x = 5,142.53 × 963.27
  4. Step 4: Simplify right side
    3,428.35x = 4,953,626.04
  5. Step 5: Solve for x
    x = 4,953,626.04/3,428.35
  6. Step 6: Final answer
    x = 1,444.90

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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.