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Finding the Fourth Proportional to 3,579.84, 5,367.48 and 2,119.44

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Solution

The fourth proportional to 3,579.84, 5,367.48 and 2,119.44 is: 3,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.84 : 5,367.48 = 2,119.44 : x
  2. Step 2: Convert to fraction form
    3,579.84/5,367.48 = 2,119.44/x
  3. Step 3: Cross multiply
    3,579.84x = 5,367.48 × 2,119.44
  4. Step 4: Simplify right side
    3,579.84x = 11,376,051.81
  5. Step 5: Solve for x
    x = 11,376,051.81/3,579.84
  6. Step 6: Final answer
    x = 3,177.81

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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.