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Finding the Fourth Proportional to 21,760, 30,028.88 and 11,824

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Solution

The fourth proportional to 21,760, 30,028.88 and 11,824 is: 16,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,760 : 30,028.88 = 11,824 : x
  2. Step 2: Convert to fraction form
    21,760/30,028.88 = 11,824/x
  3. Step 3: Cross multiply
    21,760x = 30,028.88 × 11,824
  4. Step 4: Simplify right side
    21,760x = 355,061,477.12
  5. Step 5: Solve for x
    x = 355,061,477.12/21,760
  6. Step 6: Final answer
    x = 16,317.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.