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Finding the Fourth Proportional to 17,450, 26,179.80 and 5,138

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Solution

The fourth proportional to 17,450, 26,179.80 and 5,138 is: 7,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,450 : 26,179.80 = 5,138 : x
  2. Step 2: Convert to fraction form
    17,450/26,179.80 = 5,138/x
  3. Step 3: Cross multiply
    17,450x = 26,179.80 × 5,138
  4. Step 4: Simplify right side
    17,450x = 134,511,812.40
  5. Step 5: Solve for x
    x = 134,511,812.40/17,450
  6. Step 6: Final answer
    x = 7,708.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.