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Finding the Fourth Proportional to 4,738.65, 7,108.80 and 1,963.80

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Solution

The fourth proportional to 4,738.65, 7,108.80 and 1,963.80 is: 2,946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.65 : 7,108.80 = 1,963.80 : x
  2. Step 2: Convert to fraction form
    4,738.65/7,108.80 = 1,963.80/x
  3. Step 3: Cross multiply
    4,738.65x = 7,108.80 × 1,963.80
  4. Step 4: Simplify right side
    4,738.65x = 13,960,261.44
  5. Step 5: Solve for x
    x = 13,960,261.44/4,738.65
  6. Step 6: Final answer
    x = 2,946.04

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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.