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Finding the Fourth Proportional to 1,955, 2,697.47 and 1,198.94

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Solution

The fourth proportional to 1,955, 2,697.47 and 1,198.94 is: 1,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955 : 2,697.47 = 1,198.94 : x
  2. Step 2: Convert to fraction form
    1,955/2,697.47 = 1,198.94/x
  3. Step 3: Cross multiply
    1,955x = 2,697.47 × 1,198.94
  4. Step 4: Simplify right side
    1,955x = 3,234,104.68
  5. Step 5: Solve for x
    x = 3,234,104.68/1,955
  6. Step 6: Final answer
    x = 1,654.27

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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.