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Finding the Fourth Proportional to 2,755.96, 3,808.68 and 2,257.80

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Solution

The fourth proportional to 2,755.96, 3,808.68 and 2,257.80 is: 3,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.96 : 3,808.68 = 2,257.80 : x
  2. Step 2: Convert to fraction form
    2,755.96/3,808.68 = 2,257.80/x
  3. Step 3: Cross multiply
    2,755.96x = 3,808.68 × 2,257.80
  4. Step 4: Simplify right side
    2,755.96x = 8,599,237.70
  5. Step 5: Solve for x
    x = 8,599,237.70/2,755.96
  6. Step 6: Final answer
    x = 3,120.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.