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Finding the Fourth Proportional to 2,234.40, 3,355.40 and 1,246.80

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Solution

The fourth proportional to 2,234.40, 3,355.40 and 1,246.80 is: 1,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.40 : 3,355.40 = 1,246.80 : x
  2. Step 2: Convert to fraction form
    2,234.40/3,355.40 = 1,246.80/x
  3. Step 3: Cross multiply
    2,234.40x = 3,355.40 × 1,246.80
  4. Step 4: Simplify right side
    2,234.40x = 4,183,512.72
  5. Step 5: Solve for x
    x = 4,183,512.72/2,234.40
  6. Step 6: Final answer
    x = 1,872.32

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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.