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Finding the Fourth Proportional to 3,271.87, 4,908.07 and 3,105.82

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Solution

The fourth proportional to 3,271.87, 4,908.07 and 3,105.82 is: 4,658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.87 : 4,908.07 = 3,105.82 : x
  2. Step 2: Convert to fraction form
    3,271.87/4,908.07 = 3,105.82/x
  3. Step 3: Cross multiply
    3,271.87x = 4,908.07 × 3,105.82
  4. Step 4: Simplify right side
    3,271.87x = 15,243,557.43
  5. Step 5: Solve for x
    x = 15,243,557.43/3,271.87
  6. Step 6: Final answer
    x = 4,658.98

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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.