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Finding the Fourth Proportional to 3,977.81, 5,489.07 and 2,209.26

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Solution

The fourth proportional to 3,977.81, 5,489.07 and 2,209.26 is: 3,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.81 : 5,489.07 = 2,209.26 : x
  2. Step 2: Convert to fraction form
    3,977.81/5,489.07 = 2,209.26/x
  3. Step 3: Cross multiply
    3,977.81x = 5,489.07 × 2,209.26
  4. Step 4: Simplify right side
    3,977.81x = 12,126,782.79
  5. Step 5: Solve for x
    x = 12,126,782.79/3,977.81
  6. Step 6: Final answer
    x = 3,048.61

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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.