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Finding the Fourth Proportional to 2,550.15, 3,822.03 and 1,380.15

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Solution

The fourth proportional to 2,550.15, 3,822.03 and 1,380.15 is: 2,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.15 : 3,822.03 = 1,380.15 : x
  2. Step 2: Convert to fraction form
    2,550.15/3,822.03 = 1,380.15/x
  3. Step 3: Cross multiply
    2,550.15x = 3,822.03 × 1,380.15
  4. Step 4: Simplify right side
    2,550.15x = 5,274,974.70
  5. Step 5: Solve for x
    x = 5,274,974.70/2,550.15
  6. Step 6: Final answer
    x = 2,068.50

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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.