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Finding the Fourth Proportional to 3,969.76, 5,478.42 and 2,973.28

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Solution

The fourth proportional to 3,969.76, 5,478.42 and 2,973.28 is: 4,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.76 : 5,478.42 = 2,973.28 : x
  2. Step 2: Convert to fraction form
    3,969.76/5,478.42 = 2,973.28/x
  3. Step 3: Cross multiply
    3,969.76x = 5,478.42 × 2,973.28
  4. Step 4: Simplify right side
    3,969.76x = 16,288,876.62
  5. Step 5: Solve for x
    x = 16,288,876.62/3,969.76
  6. Step 6: Final answer
    x = 4,103.24

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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.