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Finding the Fourth Proportional to 7,755.80, 11,635.51 and 2,209.22

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Solution

The fourth proportional to 7,755.80, 11,635.51 and 2,209.22 is: 3,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.80 : 11,635.51 = 2,209.22 : x
  2. Step 2: Convert to fraction form
    7,755.80/11,635.51 = 2,209.22/x
  3. Step 3: Cross multiply
    7,755.80x = 11,635.51 × 2,209.22
  4. Step 4: Simplify right side
    7,755.80x = 25,705,337.70
  5. Step 5: Solve for x
    x = 25,705,337.70/7,755.80
  6. Step 6: Final answer
    x = 3,314.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.