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Finding the Fourth Proportional to 39,852, 54,994.73 and 21,946.82

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Solution

The fourth proportional to 39,852, 54,994.73 and 21,946.82 is: 30,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,852 : 54,994.73 = 21,946.82 : x
  2. Step 2: Convert to fraction form
    39,852/54,994.73 = 21,946.82/x
  3. Step 3: Cross multiply
    39,852x = 54,994.73 × 21,946.82
  4. Step 4: Simplify right side
    39,852x = 1,206,959,055.55
  5. Step 5: Solve for x
    x = 1,206,959,055.55/39,852
  6. Step 6: Final answer
    x = 30,286.03

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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.