Home / 1,991-2,747.64-1,106.72

Finding the Fourth Proportional to 1,991, 2,747.64 and 1,106.72

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Solution

The fourth proportional to 1,991, 2,747.64 and 1,106.72 is: 1,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991 : 2,747.64 = 1,106.72 : x
  2. Step 2: Convert to fraction form
    1,991/2,747.64 = 1,106.72/x
  3. Step 3: Cross multiply
    1,991x = 2,747.64 × 1,106.72
  4. Step 4: Simplify right side
    1,991x = 3,040,868.14
  5. Step 5: Solve for x
    x = 3,040,868.14/1,991
  6. Step 6: Final answer
    x = 1,527.31

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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.