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Finding the Fourth Proportional to 2,831.59, 4,245.82 and 982.54

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Solution

The fourth proportional to 2,831.59, 4,245.82 and 982.54 is: 1,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.59 : 4,245.82 = 982.54 : x
  2. Step 2: Convert to fraction form
    2,831.59/4,245.82 = 982.54/x
  3. Step 3: Cross multiply
    2,831.59x = 4,245.82 × 982.54
  4. Step 4: Simplify right side
    2,831.59x = 4,171,687.98
  5. Step 5: Solve for x
    x = 4,171,687.98/2,831.59
  6. Step 6: Final answer
    x = 1,473.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.