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Finding the Fourth Proportional to 2,093, 2,893.80 and 2,001.20

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Solution

The fourth proportional to 2,093, 2,893.80 and 2,001.20 is: 2,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093 : 2,893.80 = 2,001.20 : x
  2. Step 2: Convert to fraction form
    2,093/2,893.80 = 2,001.20/x
  3. Step 3: Cross multiply
    2,093x = 2,893.80 × 2,001.20
  4. Step 4: Simplify right side
    2,093x = 5,791,072.56
  5. Step 5: Solve for x
    x = 5,791,072.56/2,093
  6. Step 6: Final answer
    x = 2,766.88

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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.