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Finding the Fourth Proportional to 3,977.76, 5,489.16 and 2,209.36

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Solution

The fourth proportional to 3,977.76, 5,489.16 and 2,209.36 is: 3,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.76 : 5,489.16 = 2,209.36 : x
  2. Step 2: Convert to fraction form
    3,977.76/5,489.16 = 2,209.36/x
  3. Step 3: Cross multiply
    3,977.76x = 5,489.16 × 2,209.36
  4. Step 4: Simplify right side
    3,977.76x = 12,127,530.54
  5. Step 5: Solve for x
    x = 12,127,530.54/3,977.76
  6. Step 6: Final answer
    x = 3,048.83

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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.