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Finding the Fourth Proportional to 3,234.64, 4,848.54 and 1,286.32

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Solution

The fourth proportional to 3,234.64, 4,848.54 and 1,286.32 is: 1,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.64 : 4,848.54 = 1,286.32 : x
  2. Step 2: Convert to fraction form
    3,234.64/4,848.54 = 1,286.32/x
  3. Step 3: Cross multiply
    3,234.64x = 4,848.54 × 1,286.32
  4. Step 4: Simplify right side
    3,234.64x = 6,236,773.97
  5. Step 5: Solve for x
    x = 6,236,773.97/3,234.64
  6. Step 6: Final answer
    x = 1,928.12

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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.