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Finding the Fourth Proportional to 21,662, 29,893.64 and 11,726

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Solution

The fourth proportional to 21,662, 29,893.64 and 11,726 is: 16,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662 : 29,893.64 = 11,726 : x
  2. Step 2: Convert to fraction form
    21,662/29,893.64 = 11,726/x
  3. Step 3: Cross multiply
    21,662x = 29,893.64 × 11,726
  4. Step 4: Simplify right side
    21,662x = 350,532,822.64
  5. Step 5: Solve for x
    x = 350,532,822.64/21,662
  6. Step 6: Final answer
    x = 16,181.92

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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.