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Finding the Fourth Proportional to 3,969.77, 5,478.34 and 2,177.41

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Solution

The fourth proportional to 3,969.77, 5,478.34 and 2,177.41 is: 3,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.77 : 5,478.34 = 2,177.41 : x
  2. Step 2: Convert to fraction form
    3,969.77/5,478.34 = 2,177.41/x
  3. Step 3: Cross multiply
    3,969.77x = 5,478.34 × 2,177.41
  4. Step 4: Simplify right side
    3,969.77x = 11,928,592.30
  5. Step 5: Solve for x
    x = 11,928,592.30/3,969.77
  6. Step 6: Final answer
    x = 3,004.86

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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.