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Finding the Fourth Proportional to 3,981.64, 5,964.24 and 3,103.21

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Solution

The fourth proportional to 3,981.64, 5,964.24 and 3,103.21 is: 4,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.64 : 5,964.24 = 3,103.21 : x
  2. Step 2: Convert to fraction form
    3,981.64/5,964.24 = 3,103.21/x
  3. Step 3: Cross multiply
    3,981.64x = 5,964.24 × 3,103.21
  4. Step 4: Simplify right side
    3,981.64x = 18,508,289.21
  5. Step 5: Solve for x
    x = 18,508,289.21/3,981.64
  6. Step 6: Final answer
    x = 4,648.41

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Why These Related Problems?

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