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Finding the Fourth Proportional to 3,446.92, 4,756.05 and 1,991.42

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Solution

The fourth proportional to 3,446.92, 4,756.05 and 1,991.42 is: 2,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.92 : 4,756.05 = 1,991.42 : x
  2. Step 2: Convert to fraction form
    3,446.92/4,756.05 = 1,991.42/x
  3. Step 3: Cross multiply
    3,446.92x = 4,756.05 × 1,991.42
  4. Step 4: Simplify right side
    3,446.92x = 9,471,287.15
  5. Step 5: Solve for x
    x = 9,471,287.15/3,446.92
  6. Step 6: Final answer
    x = 2,747.75

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1.5x scale

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.