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Finding the Fourth Proportional to 6,831.85, 9,408.94 and 6,330.73

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Solution

The fourth proportional to 6,831.85, 9,408.94 and 6,330.73 is: 8,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.85 : 9,408.94 = 6,330.73 : x
  2. Step 2: Convert to fraction form
    6,831.85/9,408.94 = 6,330.73/x
  3. Step 3: Cross multiply
    6,831.85x = 9,408.94 × 6,330.73
  4. Step 4: Simplify right side
    6,831.85x = 59,565,458.73
  5. Step 5: Solve for x
    x = 59,565,458.73/6,831.85
  6. Step 6: Final answer
    x = 8,718.79

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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.