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Finding the Fourth Proportional to 17,434, 26,155.44 and 5,122

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Solution

The fourth proportional to 17,434, 26,155.44 and 5,122 is: 7,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,434 : 26,155.44 = 5,122 : x
  2. Step 2: Convert to fraction form
    17,434/26,155.44 = 5,122/x
  3. Step 3: Cross multiply
    17,434x = 26,155.44 × 5,122
  4. Step 4: Simplify right side
    17,434x = 133,968,163.68
  5. Step 5: Solve for x
    x = 133,968,163.68/17,434
  6. Step 6: Final answer
    x = 7,684.30

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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.