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Finding the Fourth Proportional to 21,162, 29,203.56 and 11,732

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Solution

The fourth proportional to 21,162, 29,203.56 and 11,732 is: 16,190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162 : 29,203.56 = 11,732 : x
  2. Step 2: Convert to fraction form
    21,162/29,203.56 = 11,732/x
  3. Step 3: Cross multiply
    21,162x = 29,203.56 × 11,732
  4. Step 4: Simplify right side
    21,162x = 342,616,165.92
  5. Step 5: Solve for x
    x = 342,616,165.92/21,162
  6. Step 6: Final answer
    x = 16,190.16

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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.