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Finding the Fourth Proportional to 1,963.94, 2,947.41 and 1,039.73

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Solution

The fourth proportional to 1,963.94, 2,947.41 and 1,039.73 is: 1,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.94 : 2,947.41 = 1,039.73 : x
  2. Step 2: Convert to fraction form
    1,963.94/2,947.41 = 1,039.73/x
  3. Step 3: Cross multiply
    1,963.94x = 2,947.41 × 1,039.73
  4. Step 4: Simplify right side
    1,963.94x = 3,064,495.86
  5. Step 5: Solve for x
    x = 3,064,495.86/1,963.94
  6. Step 6: Final answer
    x = 1,560.39

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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.