Home / 2,209.46-3,049.12-1,214.78

Finding the Fourth Proportional to 2,209.46, 3,049.12 and 1,214.78

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Solution

The fourth proportional to 2,209.46, 3,049.12 and 1,214.78 is: 1,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.46 : 3,049.12 = 1,214.78 : x
  2. Step 2: Convert to fraction form
    2,209.46/3,049.12 = 1,214.78/x
  3. Step 3: Cross multiply
    2,209.46x = 3,049.12 × 1,214.78
  4. Step 4: Simplify right side
    2,209.46x = 3,704,009.99
  5. Step 5: Solve for x
    x = 3,704,009.99/2,209.46
  6. Step 6: Final answer
    x = 1,676.43

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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.