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Finding the Fourth Proportional to 1,991.42, 2,736.92 and 1,548.55

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Solution

The fourth proportional to 1,991.42, 2,736.92 and 1,548.55 is: 2,128.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.42 : 2,736.92 = 1,548.55 : x
  2. Step 2: Convert to fraction form
    1,991.42/2,736.92 = 1,548.55/x
  3. Step 3: Cross multiply
    1,991.42x = 2,736.92 × 1,548.55
  4. Step 4: Simplify right side
    1,991.42x = 4,238,256.05
  5. Step 5: Solve for x
    x = 4,238,256.05/1,991.42
  6. Step 6: Final answer
    x = 2,128.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.