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Finding the Fourth Proportional to 3,738.60, 5,602.08 and 2,179.08

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Solution

The fourth proportional to 3,738.60, 5,602.08 and 2,179.08 is: 3,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.60 : 5,602.08 = 2,179.08 : x
  2. Step 2: Convert to fraction form
    3,738.60/5,602.08 = 2,179.08/x
  3. Step 3: Cross multiply
    3,738.60x = 5,602.08 × 2,179.08
  4. Step 4: Simplify right side
    3,738.60x = 12,207,380.49
  5. Step 5: Solve for x
    x = 12,207,380.49/3,738.60
  6. Step 6: Final answer
    x = 3,265.23

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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.