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Finding the Fourth Proportional to 5,239.80, 7,231 and 2,881.92

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Solution

The fourth proportional to 5,239.80, 7,231 and 2,881.92 is: 3,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.80 : 7,231 = 2,881.92 : x
  2. Step 2: Convert to fraction form
    5,239.80/7,231 = 2,881.92/x
  3. Step 3: Cross multiply
    5,239.80x = 7,231 × 2,881.92
  4. Step 4: Simplify right side
    5,239.80x = 20,839,163.52
  5. Step 5: Solve for x
    x = 20,839,163.52/5,239.80
  6. Step 6: Final answer
    x = 3,977.09

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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.