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Finding the Fourth Proportional to 3,670.88, 5,065.91 and 1,992.36

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Solution

The fourth proportional to 3,670.88, 5,065.91 and 1,992.36 is: 2,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.88 : 5,065.91 = 1,992.36 : x
  2. Step 2: Convert to fraction form
    3,670.88/5,065.91 = 1,992.36/x
  3. Step 3: Cross multiply
    3,670.88x = 5,065.91 × 1,992.36
  4. Step 4: Simplify right side
    3,670.88x = 10,093,116.45
  5. Step 5: Solve for x
    x = 10,093,116.45/3,670.88
  6. Step 6: Final answer
    x = 2,749.51

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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.