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Finding the Fourth Proportional to 18,902.78, 26,086 and 10,519.28

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Solution

The fourth proportional to 18,902.78, 26,086 and 10,519.28 is: 14,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,902.78 : 26,086 = 10,519.28 : x
  2. Step 2: Convert to fraction form
    18,902.78/26,086 = 10,519.28/x
  3. Step 3: Cross multiply
    18,902.78x = 26,086 × 10,519.28
  4. Step 4: Simplify right side
    18,902.78x = 274,405,938.08
  5. Step 5: Solve for x
    x = 274,405,938.08/18,902.78
  6. Step 6: Final answer
    x = 14,516.70

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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.