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Finding the Fourth Proportional to 15,644.80, 23,469.24 and 5,111.14

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Solution

The fourth proportional to 15,644.80, 23,469.24 and 5,111.14 is: 7,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.80 : 23,469.24 = 5,111.14 : x
  2. Step 2: Convert to fraction form
    15,644.80/23,469.24 = 5,111.14/x
  3. Step 3: Cross multiply
    15,644.80x = 23,469.24 × 5,111.14
  4. Step 4: Simplify right side
    15,644.80x = 119,954,571.33
  5. Step 5: Solve for x
    x = 119,954,571.33/15,644.80
  6. Step 6: Final answer
    x = 7,667.38

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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.