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Finding the Fourth Proportional to 21,684, 29,923.96 and 11,748

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Solution

The fourth proportional to 21,684, 29,923.96 and 11,748 is: 16,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684 : 29,923.96 = 11,748 : x
  2. Step 2: Convert to fraction form
    21,684/29,923.96 = 11,748/x
  3. Step 3: Cross multiply
    21,684x = 29,923.96 × 11,748
  4. Step 4: Simplify right side
    21,684x = 351,546,682.08
  5. Step 5: Solve for x
    x = 351,546,682.08/21,684
  6. Step 6: Final answer
    x = 16,212.26

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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.