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Finding the Fourth Proportional to 5,231.94, 7,218 and 3,238.98

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Solution

The fourth proportional to 5,231.94, 7,218 and 3,238.98 is: 4,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.94 : 7,218 = 3,238.98 : x
  2. Step 2: Convert to fraction form
    5,231.94/7,218 = 3,238.98/x
  3. Step 3: Cross multiply
    5,231.94x = 7,218 × 3,238.98
  4. Step 4: Simplify right side
    5,231.94x = 23,378,957.64
  5. Step 5: Solve for x
    x = 23,378,957.64/5,231.94
  6. Step 6: Final answer
    x = 4,468.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.