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Finding the Fourth Proportional to 3,076.80, 4,615.80 and 1,321.80

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Solution

The fourth proportional to 3,076.80, 4,615.80 and 1,321.80 is: 1,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.80 : 4,615.80 = 1,321.80 : x
  2. Step 2: Convert to fraction form
    3,076.80/4,615.80 = 1,321.80/x
  3. Step 3: Cross multiply
    3,076.80x = 4,615.80 × 1,321.80
  4. Step 4: Simplify right side
    3,076.80x = 6,101,164.44
  5. Step 5: Solve for x
    x = 6,101,164.44/3,076.80
  6. Step 6: Final answer
    x = 1,982.96

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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.