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Finding the Fourth Proportional to 7,963.82, 11,945.73 and 2,698.87

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Solution

The fourth proportional to 7,963.82, 11,945.73 and 2,698.87 is: 4,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.82 : 11,945.73 = 2,698.87 : x
  2. Step 2: Convert to fraction form
    7,963.82/11,945.73 = 2,698.87/x
  3. Step 3: Cross multiply
    7,963.82x = 11,945.73 × 2,698.87
  4. Step 4: Simplify right side
    7,963.82x = 32,239,959.80
  5. Step 5: Solve for x
    x = 32,239,959.80/7,963.82
  6. Step 6: Final answer
    x = 4,048.30

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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.