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Finding the Fourth Proportional to 20,413.86, 30,620.79 and 13,486.74

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Solution

The fourth proportional to 20,413.86, 30,620.79 and 13,486.74 is: 20,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.86 : 30,620.79 = 13,486.74 : x
  2. Step 2: Convert to fraction form
    20,413.86/30,620.79 = 13,486.74/x
  3. Step 3: Cross multiply
    20,413.86x = 30,620.79 × 13,486.74
  4. Step 4: Simplify right side
    20,413.86x = 412,974,633.32
  5. Step 5: Solve for x
    x = 412,974,633.32/20,413.86
  6. Step 6: Final answer
    x = 20,230.11

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1.5x scale

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.