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Finding the Fourth Proportional to 20,174.94, 27,840.65 and 11,222.15

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Solution

The fourth proportional to 20,174.94, 27,840.65 and 11,222.15 is: 15,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.94 : 27,840.65 = 11,222.15 : x
  2. Step 2: Convert to fraction form
    20,174.94/27,840.65 = 11,222.15/x
  3. Step 3: Cross multiply
    20,174.94x = 27,840.65 × 11,222.15
  4. Step 4: Simplify right side
    20,174.94x = 312,431,755.08
  5. Step 5: Solve for x
    x = 312,431,755.08/20,174.94
  6. Step 6: Final answer
    x = 15,486.13

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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.