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Finding the Fourth Proportional to 7,220.64, 10,831 and 2,289.90

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Solution

The fourth proportional to 7,220.64, 10,831 and 2,289.90 is: 3,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.64 : 10,831 = 2,289.90 : x
  2. Step 2: Convert to fraction form
    7,220.64/10,831 = 2,289.90/x
  3. Step 3: Cross multiply
    7,220.64x = 10,831 × 2,289.90
  4. Step 4: Simplify right side
    7,220.64x = 24,801,906.90
  5. Step 5: Solve for x
    x = 24,801,906.90/7,220.64
  6. Step 6: Final answer
    x = 3,434.86

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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.