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Finding the Fourth Proportional to 4,738.78, 7,104.15 and 1,963.72

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Solution

The fourth proportional to 4,738.78, 7,104.15 and 1,963.72 is: 2,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.78 : 7,104.15 = 1,963.72 : x
  2. Step 2: Convert to fraction form
    4,738.78/7,104.15 = 1,963.72/x
  3. Step 3: Cross multiply
    4,738.78x = 7,104.15 × 1,963.72
  4. Step 4: Simplify right side
    4,738.78x = 13,950,561.44
  5. Step 5: Solve for x
    x = 13,950,561.44/4,738.78
  6. Step 6: Final answer
    x = 2,943.91

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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.