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Finding the Fourth Proportional to 3,428.85, 5,142.46 and 963.90

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Solution

The fourth proportional to 3,428.85, 5,142.46 and 963.90 is: 1,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.85 : 5,142.46 = 963.90 : x
  2. Step 2: Convert to fraction form
    3,428.85/5,142.46 = 963.90/x
  3. Step 3: Cross multiply
    3,428.85x = 5,142.46 × 963.90
  4. Step 4: Simplify right side
    3,428.85x = 4,956,817.19
  5. Step 5: Solve for x
    x = 4,956,817.19/3,428.85
  6. Step 6: Final answer
    x = 1,445.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.