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Finding the Fourth Proportional to 3,428.49, 5,142.63 and 963.27

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Solution

The fourth proportional to 3,428.49, 5,142.63 and 963.27 is: 1,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.49 : 5,142.63 = 963.27 : x
  2. Step 2: Convert to fraction form
    3,428.49/5,142.63 = 963.27/x
  3. Step 3: Cross multiply
    3,428.49x = 5,142.63 × 963.27
  4. Step 4: Simplify right side
    3,428.49x = 4,953,741.20
  5. Step 5: Solve for x
    x = 4,953,741.20/3,428.49
  6. Step 6: Final answer
    x = 1,444.88

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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.