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Finding the Fourth Proportional to 13,165.33, 19,730.53 and 5,761.73

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Solution

The fourth proportional to 13,165.33, 19,730.53 and 5,761.73 is: 8,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.33 : 19,730.53 = 5,761.73 : x
  2. Step 2: Convert to fraction form
    13,165.33/19,730.53 = 5,761.73/x
  3. Step 3: Cross multiply
    13,165.33x = 19,730.53 × 5,761.73
  4. Step 4: Simplify right side
    13,165.33x = 113,681,859.16
  5. Step 5: Solve for x
    x = 113,681,859.16/13,165.33
  6. Step 6: Final answer
    x = 8,634.94

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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.