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Finding the Fourth Proportional to 3,770.95, 5,648.19 and 1,819.05

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Solution

The fourth proportional to 3,770.95, 5,648.19 and 1,819.05 is: 2,724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.95 : 5,648.19 = 1,819.05 : x
  2. Step 2: Convert to fraction form
    3,770.95/5,648.19 = 1,819.05/x
  3. Step 3: Cross multiply
    3,770.95x = 5,648.19 × 1,819.05
  4. Step 4: Simplify right side
    3,770.95x = 10,274,340.02
  5. Step 5: Solve for x
    x = 10,274,340.02/3,770.95
  6. Step 6: Final answer
    x = 2,724.60

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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.