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Finding the Fourth Proportional to 3,954.84, 5,934 and 2,105.52

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Solution

The fourth proportional to 3,954.84, 5,934 and 2,105.52 is: 3,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.84 : 5,934 = 2,105.52 : x
  2. Step 2: Convert to fraction form
    3,954.84/5,934 = 2,105.52/x
  3. Step 3: Cross multiply
    3,954.84x = 5,934 × 2,105.52
  4. Step 4: Simplify right side
    3,954.84x = 12,494,155.68
  5. Step 5: Solve for x
    x = 12,494,155.68/3,954.84
  6. Step 6: Final answer
    x = 3,159.21

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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.