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Finding the Fourth Proportional to 13,023.56, 17,955.60 and 8,299.64

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Solution

The fourth proportional to 13,023.56, 17,955.60 and 8,299.64 is: 11,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.56 : 17,955.60 = 8,299.64 : x
  2. Step 2: Convert to fraction form
    13,023.56/17,955.60 = 8,299.64/x
  3. Step 3: Cross multiply
    13,023.56x = 17,955.60 × 8,299.64
  4. Step 4: Simplify right side
    13,023.56x = 149,025,015.98
  5. Step 5: Solve for x
    x = 149,025,015.98/13,023.56
  6. Step 6: Final answer
    x = 11,442.73

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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.