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Finding the Fourth Proportional to 3,930.84, 5,896.62 and 1,981.80

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Solution

The fourth proportional to 3,930.84, 5,896.62 and 1,981.80 is: 2,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.84 : 5,896.62 = 1,981.80 : x
  2. Step 2: Convert to fraction form
    3,930.84/5,896.62 = 1,981.80/x
  3. Step 3: Cross multiply
    3,930.84x = 5,896.62 × 1,981.80
  4. Step 4: Simplify right side
    3,930.84x = 11,685,921.52
  5. Step 5: Solve for x
    x = 11,685,921.52/3,930.84
  6. Step 6: Final answer
    x = 2,972.88

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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.