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Finding the Fourth Proportional to 1,992.51, 2,749.41 and 1,153.22

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Solution

The fourth proportional to 1,992.51, 2,749.41 and 1,153.22 is: 1,591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.51 : 2,749.41 = 1,153.22 : x
  2. Step 2: Convert to fraction form
    1,992.51/2,749.41 = 1,153.22/x
  3. Step 3: Cross multiply
    1,992.51x = 2,749.41 × 1,153.22
  4. Step 4: Simplify right side
    1,992.51x = 3,170,660.85
  5. Step 5: Solve for x
    x = 3,170,660.85/1,992.51
  6. Step 6: Final answer
    x = 1,591.29

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1.5x scale

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.