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Finding the Fourth Proportional to 2,380.60, 3,571.50 and 1,922.54

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Solution

The fourth proportional to 2,380.60, 3,571.50 and 1,922.54 is: 2,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.60 : 3,571.50 = 1,922.54 : x
  2. Step 2: Convert to fraction form
    2,380.60/3,571.50 = 1,922.54/x
  3. Step 3: Cross multiply
    2,380.60x = 3,571.50 × 1,922.54
  4. Step 4: Simplify right side
    2,380.60x = 6,866,351.61
  5. Step 5: Solve for x
    x = 6,866,351.61/2,380.60
  6. Step 6: Final answer
    x = 2,884.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.