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Finding the Fourth Proportional to 2,199.85, 3,300.98 and 1,226.50

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Solution

The fourth proportional to 2,199.85, 3,300.98 and 1,226.50 is: 1,840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.85 : 3,300.98 = 1,226.50 : x
  2. Step 2: Convert to fraction form
    2,199.85/3,300.98 = 1,226.50/x
  3. Step 3: Cross multiply
    2,199.85x = 3,300.98 × 1,226.50
  4. Step 4: Simplify right side
    2,199.85x = 4,048,651.97
  5. Step 5: Solve for x
    x = 4,048,651.97/2,199.85
  6. Step 6: Final answer
    x = 1,840.42

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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.