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Finding the Fourth Proportional to 17,491, 26,240.94 and 5,179

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Solution

The fourth proportional to 17,491, 26,240.94 and 5,179 is: 7,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,491 : 26,240.94 = 5,179 : x
  2. Step 2: Convert to fraction form
    17,491/26,240.94 = 5,179/x
  3. Step 3: Cross multiply
    17,491x = 26,240.94 × 5,179
  4. Step 4: Simplify right side
    17,491x = 135,901,828.26
  5. Step 5: Solve for x
    x = 135,901,828.26/17,491
  6. Step 6: Final answer
    x = 7,769.81

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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.