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Finding the Fourth Proportional to 1,391.05, 2,087.11 and 843.62

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Solution

The fourth proportional to 1,391.05, 2,087.11 and 843.62 is: 1,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.05 : 2,087.11 = 843.62 : x
  2. Step 2: Convert to fraction form
    1,391.05/2,087.11 = 843.62/x
  3. Step 3: Cross multiply
    1,391.05x = 2,087.11 × 843.62
  4. Step 4: Simplify right side
    1,391.05x = 1,760,727.74
  5. Step 5: Solve for x
    x = 1,760,727.74/1,391.05
  6. Step 6: Final answer
    x = 1,265.75

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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.