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Finding the Fourth Proportional to 18,261, 25,200.18 and 10,809

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Solution

The fourth proportional to 18,261, 25,200.18 and 10,809 is: 14,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,261 : 25,200.18 = 10,809 : x
  2. Step 2: Convert to fraction form
    18,261/25,200.18 = 10,809/x
  3. Step 3: Cross multiply
    18,261x = 25,200.18 × 10,809
  4. Step 4: Simplify right side
    18,261x = 272,388,745.62
  5. Step 5: Solve for x
    x = 272,388,745.62/18,261
  6. Step 6: Final answer
    x = 14,916.42

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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.