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Finding the Fourth Proportional to 13,762.82, 18,992.73 and 8,097.78

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Solution

The fourth proportional to 13,762.82, 18,992.73 and 8,097.78 is: 11,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.82 : 18,992.73 = 8,097.78 : x
  2. Step 2: Convert to fraction form
    13,762.82/18,992.73 = 8,097.78/x
  3. Step 3: Cross multiply
    13,762.82x = 18,992.73 × 8,097.78
  4. Step 4: Simplify right side
    13,762.82x = 153,798,949.14
  5. Step 5: Solve for x
    x = 153,798,949.14/13,762.82
  6. Step 6: Final answer
    x = 11,174.96

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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.