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Finding the Fourth Proportional to 1,794.69, 2,691.63 and 1,169.78

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Solution

The fourth proportional to 1,794.69, 2,691.63 and 1,169.78 is: 1,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.69 : 2,691.63 = 1,169.78 : x
  2. Step 2: Convert to fraction form
    1,794.69/2,691.63 = 1,169.78/x
  3. Step 3: Cross multiply
    1,794.69x = 2,691.63 × 1,169.78
  4. Step 4: Simplify right side
    1,794.69x = 3,148,601.48
  5. Step 5: Solve for x
    x = 3,148,601.48/1,794.69
  6. Step 6: Final answer
    x = 1,754.40

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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.