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Finding the Fourth Proportional to 1,121.70, 1,675.90 and 1,083.42

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Solution

The fourth proportional to 1,121.70, 1,675.90 and 1,083.42 is: 1,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.70 : 1,675.90 = 1,083.42 : x
  2. Step 2: Convert to fraction form
    1,121.70/1,675.90 = 1,083.42/x
  3. Step 3: Cross multiply
    1,121.70x = 1,675.90 × 1,083.42
  4. Step 4: Simplify right side
    1,121.70x = 1,815,703.58
  5. Step 5: Solve for x
    x = 1,815,703.58/1,121.70
  6. Step 6: Final answer
    x = 1,618.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.