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Finding the Fourth Proportional to 17,419, 26,132.84 and 5,107

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Solution

The fourth proportional to 17,419, 26,132.84 and 5,107 is: 7,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,419 : 26,132.84 = 5,107 : x
  2. Step 2: Convert to fraction form
    17,419/26,132.84 = 5,107/x
  3. Step 3: Cross multiply
    17,419x = 26,132.84 × 5,107
  4. Step 4: Simplify right side
    17,419x = 133,460,413.88
  5. Step 5: Solve for x
    x = 133,460,413.88/17,419
  6. Step 6: Final answer
    x = 7,661.77

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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.