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Finding the Fourth Proportional to 2,413.46, 3,620.46 and 853.13

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Solution

The fourth proportional to 2,413.46, 3,620.46 and 853.13 is: 1,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.46 : 3,620.46 = 853.13 : x
  2. Step 2: Convert to fraction form
    2,413.46/3,620.46 = 853.13/x
  3. Step 3: Cross multiply
    2,413.46x = 3,620.46 × 853.13
  4. Step 4: Simplify right side
    2,413.46x = 3,088,704.94
  5. Step 5: Solve for x
    x = 3,088,704.94/2,413.46
  6. Step 6: Final answer
    x = 1,279.79

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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.