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Finding the Fourth Proportional to 1,891.57, 2,836.83 and 1,197.19

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Solution

The fourth proportional to 1,891.57, 2,836.83 and 1,197.19 is: 1,795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.57 : 2,836.83 = 1,197.19 : x
  2. Step 2: Convert to fraction form
    1,891.57/2,836.83 = 1,197.19/x
  3. Step 3: Cross multiply
    1,891.57x = 2,836.83 × 1,197.19
  4. Step 4: Simplify right side
    1,891.57x = 3,396,224.51
  5. Step 5: Solve for x
    x = 3,396,224.51/1,891.57
  6. Step 6: Final answer
    x = 1,795.45

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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.