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Finding the Fourth Proportional to 3,888.30, 5,825.97 and 2,731.98

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Solution

The fourth proportional to 3,888.30, 5,825.97 and 2,731.98 is: 4,093.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.30 : 5,825.97 = 2,731.98 : x
  2. Step 2: Convert to fraction form
    3,888.30/5,825.97 = 2,731.98/x
  3. Step 3: Cross multiply
    3,888.30x = 5,825.97 × 2,731.98
  4. Step 4: Simplify right side
    3,888.30x = 15,916,433.52
  5. Step 5: Solve for x
    x = 15,916,433.52/3,888.30
  6. Step 6: Final answer
    x = 4,093.42

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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.