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Finding the Fourth Proportional to 5,953.25, 8,211.78 and 3,831.55

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Solution

The fourth proportional to 5,953.25, 8,211.78 and 3,831.55 is: 5,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.25 : 8,211.78 = 3,831.55 : x
  2. Step 2: Convert to fraction form
    5,953.25/8,211.78 = 3,831.55/x
  3. Step 3: Cross multiply
    5,953.25x = 8,211.78 × 3,831.55
  4. Step 4: Simplify right side
    5,953.25x = 31,463,845.66
  5. Step 5: Solve for x
    x = 31,463,845.66/5,953.25
  6. Step 6: Final answer
    x = 5,285.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.