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Finding the Fourth Proportional to 2,380.98, 3,568.50 and 1,835.22

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Solution

The fourth proportional to 2,380.98, 3,568.50 and 1,835.22 is: 2,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.98 : 3,568.50 = 1,835.22 : x
  2. Step 2: Convert to fraction form
    2,380.98/3,568.50 = 1,835.22/x
  3. Step 3: Cross multiply
    2,380.98x = 3,568.50 × 1,835.22
  4. Step 4: Simplify right side
    2,380.98x = 6,548,982.57
  5. Step 5: Solve for x
    x = 6,548,982.57/2,380.98
  6. Step 6: Final answer
    x = 2,750.54

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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.