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Finding the Fourth Proportional to 3,954.27, 5,929.65 and 2,105.01

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Solution

The fourth proportional to 3,954.27, 5,929.65 and 2,105.01 is: 3,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.27 : 5,929.65 = 2,105.01 : x
  2. Step 2: Convert to fraction form
    3,954.27/5,929.65 = 2,105.01/x
  3. Step 3: Cross multiply
    3,954.27x = 5,929.65 × 2,105.01
  4. Step 4: Simplify right side
    3,954.27x = 12,481,972.55
  5. Step 5: Solve for x
    x = 12,481,972.55/3,954.27
  6. Step 6: Final answer
    x = 3,156.58

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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.