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Finding the Fourth Proportional to 23,121, 31,906.98 and 13,185

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Solution

The fourth proportional to 23,121, 31,906.98 and 13,185 is: 18,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,121 : 31,906.98 = 13,185 : x
  2. Step 2: Convert to fraction form
    23,121/31,906.98 = 13,185/x
  3. Step 3: Cross multiply
    23,121x = 31,906.98 × 13,185
  4. Step 4: Simplify right side
    23,121x = 420,693,531.30
  5. Step 5: Solve for x
    x = 420,693,531.30/23,121
  6. Step 6: Final answer
    x = 18,195.30

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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.