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Finding the Fourth Proportional to 1,693.78, 2,538.05 and 1,174.79

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Solution

The fourth proportional to 1,693.78, 2,538.05 and 1,174.79 is: 1,760.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.78 : 2,538.05 = 1,174.79 : x
  2. Step 2: Convert to fraction form
    1,693.78/2,538.05 = 1,174.79/x
  3. Step 3: Cross multiply
    1,693.78x = 2,538.05 × 1,174.79
  4. Step 4: Simplify right side
    1,693.78x = 2,981,676.23
  5. Step 5: Solve for x
    x = 2,981,676.23/1,693.78
  6. Step 6: Final answer
    x = 1,760.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.