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Finding the Fourth Proportional to 1,741.56, 2,393.13 and 1,391.64

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Solution

The fourth proportional to 1,741.56, 2,393.13 and 1,391.64 is: 1,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.56 : 2,393.13 = 1,391.64 : x
  2. Step 2: Convert to fraction form
    1,741.56/2,393.13 = 1,391.64/x
  3. Step 3: Cross multiply
    1,741.56x = 2,393.13 × 1,391.64
  4. Step 4: Simplify right side
    1,741.56x = 3,330,375.43
  5. Step 5: Solve for x
    x = 3,330,375.43/1,741.56
  6. Step 6: Final answer
    x = 1,912.29

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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.