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Finding the Fourth Proportional to 17,815, 26,718.85 and 10,413.83

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Solution

The fourth proportional to 17,815, 26,718.85 and 10,413.83 is: 15,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,815 : 26,718.85 = 10,413.83 : x
  2. Step 2: Convert to fraction form
    17,815/26,718.85 = 10,413.83/x
  3. Step 3: Cross multiply
    17,815x = 26,718.85 × 10,413.83
  4. Step 4: Simplify right side
    17,815x = 278,245,376.03
  5. Step 5: Solve for x
    x = 278,245,376.03/17,815
  6. Step 6: Final answer
    x = 15,618.60

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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.