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Finding the Fourth Proportional to 3,977.94, 5,489.56 and 2,209.71

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Solution

The fourth proportional to 3,977.94, 5,489.56 and 2,209.71 is: 3,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.94 : 5,489.56 = 2,209.71 : x
  2. Step 2: Convert to fraction form
    3,977.94/5,489.56 = 2,209.71/x
  3. Step 3: Cross multiply
    3,977.94x = 5,489.56 × 2,209.71
  4. Step 4: Simplify right side
    3,977.94x = 12,130,324.58
  5. Step 5: Solve for x
    x = 12,130,324.58/3,977.94
  6. Step 6: Final answer
    x = 3,049.40

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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.