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Finding the Fourth Proportional to 3,429.73, 5,144.73 and 1,121.23

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Solution

The fourth proportional to 3,429.73, 5,144.73 and 1,121.23 is: 1,681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.73 : 5,144.73 = 1,121.23 : x
  2. Step 2: Convert to fraction form
    3,429.73/5,144.73 = 1,121.23/x
  3. Step 3: Cross multiply
    3,429.73x = 5,144.73 × 1,121.23
  4. Step 4: Simplify right side
    3,429.73x = 5,768,425.62
  5. Step 5: Solve for x
    x = 5,768,425.62/3,429.73
  6. Step 6: Final answer
    x = 1,681.89

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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.