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Finding the Fourth Proportional to 21,633, 29,853.54 and 11,697

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Solution

The fourth proportional to 21,633, 29,853.54 and 11,697 is: 16,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633 : 29,853.54 = 11,697 : x
  2. Step 2: Convert to fraction form
    21,633/29,853.54 = 11,697/x
  3. Step 3: Cross multiply
    21,633x = 29,853.54 × 11,697
  4. Step 4: Simplify right side
    21,633x = 349,196,857.38
  5. Step 5: Solve for x
    x = 349,196,857.38/21,633
  6. Step 6: Final answer
    x = 16,141.86

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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.