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Finding the Fourth Proportional to 1,891, 2,833.76 and 1,067.53

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Solution

The fourth proportional to 1,891, 2,833.76 and 1,067.53 is: 1,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891 : 2,833.76 = 1,067.53 : x
  2. Step 2: Convert to fraction form
    1,891/2,833.76 = 1,067.53/x
  3. Step 3: Cross multiply
    1,891x = 2,833.76 × 1,067.53
  4. Step 4: Simplify right side
    1,891x = 3,025,123.81
  5. Step 5: Solve for x
    x = 3,025,123.81/1,891
  6. Step 6: Final answer
    x = 1,599.75

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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.