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Finding the Fourth Proportional to 3,227.44, 4,842 and 919.12

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Solution

The fourth proportional to 3,227.44, 4,842 and 919.12 is: 1,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.44 : 4,842 = 919.12 : x
  2. Step 2: Convert to fraction form
    3,227.44/4,842 = 919.12/x
  3. Step 3: Cross multiply
    3,227.44x = 4,842 × 919.12
  4. Step 4: Simplify right side
    3,227.44x = 4,450,379.04
  5. Step 5: Solve for x
    x = 4,450,379.04/3,227.44
  6. Step 6: Final answer
    x = 1,378.92

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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.