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Finding the Fourth Proportional to 6,806.65, 10,200.41 and 5,413.81

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Solution

The fourth proportional to 6,806.65, 10,200.41 and 5,413.81 is: 8,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.65 : 10,200.41 = 5,413.81 : x
  2. Step 2: Convert to fraction form
    6,806.65/10,200.41 = 5,413.81/x
  3. Step 3: Cross multiply
    6,806.65x = 10,200.41 × 5,413.81
  4. Step 4: Simplify right side
    6,806.65x = 55,223,081.66
  5. Step 5: Solve for x
    x = 55,223,081.66/6,806.65
  6. Step 6: Final answer
    x = 8,113.11

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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.