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Finding the Fourth Proportional to 19,222.56, 28,845 and 8,128.56

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Solution

The fourth proportional to 19,222.56, 28,845 and 8,128.56 is: 12,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,222.56 : 28,845 = 8,128.56 : x
  2. Step 2: Convert to fraction form
    19,222.56/28,845 = 8,128.56/x
  3. Step 3: Cross multiply
    19,222.56x = 28,845 × 8,128.56
  4. Step 4: Simplify right side
    19,222.56x = 234,468,313.20
  5. Step 5: Solve for x
    x = 234,468,313.20/19,222.56
  6. Step 6: Final answer
    x = 12,197.56

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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.