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Finding the Fourth Proportional to 6,831.09, 9,413.04 and 5,237.77

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Solution

The fourth proportional to 6,831.09, 9,413.04 and 5,237.77 is: 7,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.09 : 9,413.04 = 5,237.77 : x
  2. Step 2: Convert to fraction form
    6,831.09/9,413.04 = 5,237.77/x
  3. Step 3: Cross multiply
    6,831.09x = 9,413.04 × 5,237.77
  4. Step 4: Simplify right side
    6,831.09x = 49,303,338.52
  5. Step 5: Solve for x
    x = 49,303,338.52/6,831.09
  6. Step 6: Final answer
    x = 7,217.49

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1.5x scale

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.