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Finding the Fourth Proportional to 3,197.69, 4,797.93 and 1,119.18

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Solution

The fourth proportional to 3,197.69, 4,797.93 and 1,119.18 is: 1,679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.69 : 4,797.93 = 1,119.18 : x
  2. Step 2: Convert to fraction form
    3,197.69/4,797.93 = 1,119.18/x
  3. Step 3: Cross multiply
    3,197.69x = 4,797.93 × 1,119.18
  4. Step 4: Simplify right side
    3,197.69x = 5,369,747.30
  5. Step 5: Solve for x
    x = 5,369,747.30/3,197.69
  6. Step 6: Final answer
    x = 1,679.26

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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.