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Finding the Fourth Proportional to 3,270.32, 4,905.84 and 962

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Solution

The fourth proportional to 3,270.32, 4,905.84 and 962 is: 1,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.32 : 4,905.84 = 962 : x
  2. Step 2: Convert to fraction form
    3,270.32/4,905.84 = 962/x
  3. Step 3: Cross multiply
    3,270.32x = 4,905.84 × 962
  4. Step 4: Simplify right side
    3,270.32x = 4,719,418.08
  5. Step 5: Solve for x
    x = 4,719,418.08/3,270.32
  6. Step 6: Final answer
    x = 1,443.11

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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.