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Finding the Fourth Proportional to 3,954.84, 5,901.54 and 3,429.96

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Solution

The fourth proportional to 3,954.84, 5,901.54 and 3,429.96 is: 5,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.84 : 5,901.54 = 3,429.96 : x
  2. Step 2: Convert to fraction form
    3,954.84/5,901.54 = 3,429.96/x
  3. Step 3: Cross multiply
    3,954.84x = 5,901.54 × 3,429.96
  4. Step 4: Simplify right side
    3,954.84x = 20,242,046.14
  5. Step 5: Solve for x
    x = 20,242,046.14/3,954.84
  6. Step 6: Final answer
    x = 5,118.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.