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Finding the Fourth Proportional to 2,797.70, 4,192.76 and 2,271.80

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Solution

The fourth proportional to 2,797.70, 4,192.76 and 2,271.80 is: 3,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.70 : 4,192.76 = 2,271.80 : x
  2. Step 2: Convert to fraction form
    2,797.70/4,192.76 = 2,271.80/x
  3. Step 3: Cross multiply
    2,797.70x = 4,192.76 × 2,271.80
  4. Step 4: Simplify right side
    2,797.70x = 9,525,128.33
  5. Step 5: Solve for x
    x = 9,525,128.33/2,797.70
  6. Step 6: Final answer
    x = 3,404.63

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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.