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Finding the Fourth Proportional to 3,980.91, 5,493.49 and 2,212.68

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Solution

The fourth proportional to 3,980.91, 5,493.49 and 2,212.68 is: 3,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.91 : 5,493.49 = 2,212.68 : x
  2. Step 2: Convert to fraction form
    3,980.91/5,493.49 = 2,212.68/x
  3. Step 3: Cross multiply
    3,980.91x = 5,493.49 × 2,212.68
  4. Step 4: Simplify right side
    3,980.91x = 12,155,335.45
  5. Step 5: Solve for x
    x = 12,155,335.45/3,980.91
  6. Step 6: Final answer
    x = 3,053.41

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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.