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Finding the Fourth Proportional to 3,670.94, 5,065.89 and 1,992.35

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Solution

The fourth proportional to 3,670.94, 5,065.89 and 1,992.35 is: 2,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.94 : 5,065.89 = 1,992.35 : x
  2. Step 2: Convert to fraction form
    3,670.94/5,065.89 = 1,992.35/x
  3. Step 3: Cross multiply
    3,670.94x = 5,065.89 × 1,992.35
  4. Step 4: Simplify right side
    3,670.94x = 10,093,038.61
  5. Step 5: Solve for x
    x = 10,093,038.61/3,670.94
  6. Step 6: Final answer
    x = 2,749.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.