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Finding the Fourth Proportional to 3,841.92, 5,762.07 and 1,994.31

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Solution

The fourth proportional to 3,841.92, 5,762.07 and 1,994.31 is: 2,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.92 : 5,762.07 = 1,994.31 : x
  2. Step 2: Convert to fraction form
    3,841.92/5,762.07 = 1,994.31/x
  3. Step 3: Cross multiply
    3,841.92x = 5,762.07 × 1,994.31
  4. Step 4: Simplify right side
    3,841.92x = 11,491,353.82
  5. Step 5: Solve for x
    x = 11,491,353.82/3,841.92
  6. Step 6: Final answer
    x = 2,991.04

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1.5x scale

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.