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Finding the Fourth Proportional to 5,589.22, 7,711.77 and 3,105.22

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Solution

The fourth proportional to 5,589.22, 7,711.77 and 3,105.22 is: 4,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.22 : 7,711.77 = 3,105.22 : x
  2. Step 2: Convert to fraction form
    5,589.22/7,711.77 = 3,105.22/x
  3. Step 3: Cross multiply
    5,589.22x = 7,711.77 × 3,105.22
  4. Step 4: Simplify right side
    5,589.22x = 23,946,742.44
  5. Step 5: Solve for x
    x = 23,946,742.44/5,589.22
  6. Step 6: Final answer
    x = 4,284.45

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