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Finding the Fourth Proportional to 3,991.74, 5,509.09 and 2,290.87

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Solution

The fourth proportional to 3,991.74, 5,509.09 and 2,290.87 is: 3,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.74 : 5,509.09 = 2,290.87 : x
  2. Step 2: Convert to fraction form
    3,991.74/5,509.09 = 2,290.87/x
  3. Step 3: Cross multiply
    3,991.74x = 5,509.09 × 2,290.87
  4. Step 4: Simplify right side
    3,991.74x = 12,620,609.01
  5. Step 5: Solve for x
    x = 12,620,609.01/3,991.74
  6. Step 6: Final answer
    x = 3,161.68

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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.