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Finding the Fourth Proportional to 6,076.80, 9,109.80 and 2,377.80

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Solution

The fourth proportional to 6,076.80, 9,109.80 and 2,377.80 is: 3,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.80 : 9,109.80 = 2,377.80 : x
  2. Step 2: Convert to fraction form
    6,076.80/9,109.80 = 2,377.80/x
  3. Step 3: Cross multiply
    6,076.80x = 9,109.80 × 2,377.80
  4. Step 4: Simplify right side
    6,076.80x = 21,661,282.44
  5. Step 5: Solve for x
    x = 21,661,282.44/6,076.80
  6. Step 6: Final answer
    x = 3,564.59

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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.