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Finding the Fourth Proportional to 1,369.58, 1,890.42 and 1,212.73

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Solution

The fourth proportional to 1,369.58, 1,890.42 and 1,212.73 is: 1,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.58 : 1,890.42 = 1,212.73 : x
  2. Step 2: Convert to fraction form
    1,369.58/1,890.42 = 1,212.73/x
  3. Step 3: Cross multiply
    1,369.58x = 1,890.42 × 1,212.73
  4. Step 4: Simplify right side
    1,369.58x = 2,292,553.53
  5. Step 5: Solve for x
    x = 2,292,553.53/1,369.58
  6. Step 6: Final answer
    x = 1,673.91

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1.5x scale

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.