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Finding the Fourth Proportional to 6,413.87, 8,831.40 and 5,467.54

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Solution

The fourth proportional to 6,413.87, 8,831.40 and 5,467.54 is: 7,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.87 : 8,831.40 = 5,467.54 : x
  2. Step 2: Convert to fraction form
    6,413.87/8,831.40 = 5,467.54/x
  3. Step 3: Cross multiply
    6,413.87x = 8,831.40 × 5,467.54
  4. Step 4: Simplify right side
    6,413.87x = 48,286,032.76
  5. Step 5: Solve for x
    x = 48,286,032.76/6,413.87
  6. Step 6: Final answer
    x = 7,528.38

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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.