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Finding the Fourth Proportional to 21,083.28, 29,096.64 and 11,652

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Solution

The fourth proportional to 21,083.28, 29,096.64 and 11,652 is: 16,080.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,083.28 : 29,096.64 = 11,652 : x
  2. Step 2: Convert to fraction form
    21,083.28/29,096.64 = 11,652/x
  3. Step 3: Cross multiply
    21,083.28x = 29,096.64 × 11,652
  4. Step 4: Simplify right side
    21,083.28x = 339,034,049.28
  5. Step 5: Solve for x
    x = 339,034,049.28/21,083.28
  6. Step 6: Final answer
    x = 16,080.71

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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.