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Finding the Fourth Proportional to 3,969.44, 5,477.94 and 2,177.00

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Solution

The fourth proportional to 3,969.44, 5,477.94 and 2,177.00 is: 3,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.44 : 5,477.94 = 2,177.00 : x
  2. Step 2: Convert to fraction form
    3,969.44/5,477.94 = 2,177.00/x
  3. Step 3: Cross multiply
    3,969.44x = 5,477.94 × 2,177.00
  4. Step 4: Simplify right side
    3,969.44x = 11,925,504.33
  5. Step 5: Solve for x
    x = 11,925,504.33/3,969.44
  6. Step 6: Final answer
    x = 3,004.33

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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.