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Finding the Fourth Proportional to 20,589.75, 28,413.99 and 11,158.38

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Solution

The fourth proportional to 20,589.75, 28,413.99 and 11,158.38 is: 15,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.75 : 28,413.99 = 11,158.38 : x
  2. Step 2: Convert to fraction form
    20,589.75/28,413.99 = 11,158.38/x
  3. Step 3: Cross multiply
    20,589.75x = 28,413.99 × 11,158.38
  4. Step 4: Simplify right side
    20,589.75x = 317,054,097.74
  5. Step 5: Solve for x
    x = 317,054,097.74/20,589.75
  6. Step 6: Final answer
    x = 15,398.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.