Home / 1,992-2,749.44-1,440.96

Finding the Fourth Proportional to 1,992, 2,749.44 and 1,440.96

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Solution

The fourth proportional to 1,992, 2,749.44 and 1,440.96 is: 1,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992 : 2,749.44 = 1,440.96 : x
  2. Step 2: Convert to fraction form
    1,992/2,749.44 = 1,440.96/x
  3. Step 3: Cross multiply
    1,992x = 2,749.44 × 1,440.96
  4. Step 4: Simplify right side
    1,992x = 3,961,833.06
  5. Step 5: Solve for x
    x = 3,961,833.06/1,992
  6. Step 6: Final answer
    x = 1,988.87

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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.