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Finding the Fourth Proportional to 18,257, 25,194.66 and 10,805

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Solution

The fourth proportional to 18,257, 25,194.66 and 10,805 is: 14,910.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,257 : 25,194.66 = 10,805 : x
  2. Step 2: Convert to fraction form
    18,257/25,194.66 = 10,805/x
  3. Step 3: Cross multiply
    18,257x = 25,194.66 × 10,805
  4. Step 4: Simplify right side
    18,257x = 272,228,301.30
  5. Step 5: Solve for x
    x = 272,228,301.30/18,257
  6. Step 6: Final answer
    x = 14,910.90

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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.