Home / 1,992-2,749.32-1,153.24

Finding the Fourth Proportional to 1,992, 2,749.32 and 1,153.24

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Solution

The fourth proportional to 1,992, 2,749.32 and 1,153.24 is: 1,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992 : 2,749.32 = 1,153.24 : x
  2. Step 2: Convert to fraction form
    1,992/2,749.32 = 1,153.24/x
  3. Step 3: Cross multiply
    1,992x = 2,749.32 × 1,153.24
  4. Step 4: Simplify right side
    1,992x = 3,170,625.80
  5. Step 5: Solve for x
    x = 3,170,625.80/1,992
  6. Step 6: Final answer
    x = 1,591.68

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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.