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Finding the Fourth Proportional to 6,856.78, 10,286.01 and 2,413.40

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Solution

The fourth proportional to 6,856.78, 10,286.01 and 2,413.40 is: 3,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.78 : 10,286.01 = 2,413.40 : x
  2. Step 2: Convert to fraction form
    6,856.78/10,286.01 = 2,413.40/x
  3. Step 3: Cross multiply
    6,856.78x = 10,286.01 × 2,413.40
  4. Step 4: Simplify right side
    6,856.78x = 24,824,211.89
  5. Step 5: Solve for x
    x = 24,824,211.89/6,856.78
  6. Step 6: Final answer
    x = 3,620.39

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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.