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Finding the Fourth Proportional to 2,963.76, 4,107.30 and 2,922

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Solution

The fourth proportional to 2,963.76, 4,107.30 and 2,922 is: 4,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.76 : 4,107.30 = 2,922 : x
  2. Step 2: Convert to fraction form
    2,963.76/4,107.30 = 2,922/x
  3. Step 3: Cross multiply
    2,963.76x = 4,107.30 × 2,922
  4. Step 4: Simplify right side
    2,963.76x = 12,001,530.60
  5. Step 5: Solve for x
    x = 12,001,530.60/2,963.76
  6. Step 6: Final answer
    x = 4,049.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.