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Finding the Fourth Proportional to 2,811.84, 4,234.26 and 2,450.84

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Solution

The fourth proportional to 2,811.84, 4,234.26 and 2,450.84 is: 3,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.84 : 4,234.26 = 2,450.84 : x
  2. Step 2: Convert to fraction form
    2,811.84/4,234.26 = 2,450.84/x
  3. Step 3: Cross multiply
    2,811.84x = 4,234.26 × 2,450.84
  4. Step 4: Simplify right side
    2,811.84x = 10,377,493.78
  5. Step 5: Solve for x
    x = 10,377,493.78/2,811.84
  6. Step 6: Final answer
    x = 3,690.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.