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Finding the Fourth Proportional to 3,428.39, 5,142.02 and 963.22

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Solution

The fourth proportional to 3,428.39, 5,142.02 and 963.22 is: 1,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.39 : 5,142.02 = 963.22 : x
  2. Step 2: Convert to fraction form
    3,428.39/5,142.02 = 963.22/x
  3. Step 3: Cross multiply
    3,428.39x = 5,142.02 × 963.22
  4. Step 4: Simplify right side
    3,428.39x = 4,952,896.50
  5. Step 5: Solve for x
    x = 4,952,896.50/3,428.39
  6. Step 6: Final answer
    x = 1,444.67

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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.