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Finding the Fourth Proportional to 3,977.22, 5,488.56 and 2,209.17

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Solution

The fourth proportional to 3,977.22, 5,488.56 and 2,209.17 is: 3,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.22 : 5,488.56 = 2,209.17 : x
  2. Step 2: Convert to fraction form
    3,977.22/5,488.56 = 2,209.17/x
  3. Step 3: Cross multiply
    3,977.22x = 5,488.56 × 2,209.17
  4. Step 4: Simplify right side
    3,977.22x = 12,125,162.10
  5. Step 5: Solve for x
    x = 12,125,162.10/3,977.22
  6. Step 6: Final answer
    x = 3,048.65

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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.