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Finding the Fourth Proportional to 3,165.72, 4,749.63 and 1,994.37

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Solution

The fourth proportional to 3,165.72, 4,749.63 and 1,994.37 is: 2,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.72 : 4,749.63 = 1,994.37 : x
  2. Step 2: Convert to fraction form
    3,165.72/4,749.63 = 1,994.37/x
  3. Step 3: Cross multiply
    3,165.72x = 4,749.63 × 1,994.37
  4. Step 4: Simplify right side
    3,165.72x = 9,472,519.58
  5. Step 5: Solve for x
    x = 9,472,519.58/3,165.72
  6. Step 6: Final answer
    x = 2,992.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.