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Finding the Fourth Proportional to 23,156, 31,954.20 and 13,083.20

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Solution

The fourth proportional to 23,156, 31,954.20 and 13,083.20 is: 18,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,156 : 31,954.20 = 13,083.20 : x
  2. Step 2: Convert to fraction form
    23,156/31,954.20 = 13,083.20/x
  3. Step 3: Cross multiply
    23,156x = 31,954.20 × 13,083.20
  4. Step 4: Simplify right side
    23,156x = 418,063,189.44
  5. Step 5: Solve for x
    x = 418,063,189.44/23,156
  6. Step 6: Final answer
    x = 18,054.21

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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.