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Finding the Fourth Proportional to 3,172.44, 4,375.71 and 1,976.40

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Solution

The fourth proportional to 3,172.44, 4,375.71 and 1,976.40 is: 2,726.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.44 : 4,375.71 = 1,976.40 : x
  2. Step 2: Convert to fraction form
    3,172.44/4,375.71 = 1,976.40/x
  3. Step 3: Cross multiply
    3,172.44x = 4,375.71 × 1,976.40
  4. Step 4: Simplify right side
    3,172.44x = 8,648,153.24
  5. Step 5: Solve for x
    x = 8,648,153.24/3,172.44
  6. Step 6: Final answer
    x = 2,726.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.