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Finding the Fourth Proportional to 17,417, 26,125.86 and 5,105

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Solution

The fourth proportional to 17,417, 26,125.86 and 5,105 is: 7,657.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,417 : 26,125.86 = 5,105 : x
  2. Step 2: Convert to fraction form
    17,417/26,125.86 = 5,105/x
  3. Step 3: Cross multiply
    17,417x = 26,125.86 × 5,105
  4. Step 4: Simplify right side
    17,417x = 133,372,515.30
  5. Step 5: Solve for x
    x = 133,372,515.30/17,417
  6. Step 6: Final answer
    x = 7,657.61

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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.