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Finding the Fourth Proportional to 2,668.44, 3,680.60 and 2,108.01

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Solution

The fourth proportional to 2,668.44, 3,680.60 and 2,108.01 is: 2,907.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.44 : 3,680.60 = 2,108.01 : x
  2. Step 2: Convert to fraction form
    2,668.44/3,680.60 = 2,108.01/x
  3. Step 3: Cross multiply
    2,668.44x = 3,680.60 × 2,108.01
  4. Step 4: Simplify right side
    2,668.44x = 7,758,731.07
  5. Step 5: Solve for x
    x = 7,758,731.07/2,668.44
  6. Step 6: Final answer
    x = 2,907.59

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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.