Home / 4,228-6,339.68-1,453.12

Finding the Fourth Proportional to 4,228, 6,339.68 and 1,453.12

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Solution

The fourth proportional to 4,228, 6,339.68 and 1,453.12 is: 2,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228 : 6,339.68 = 1,453.12 : x
  2. Step 2: Convert to fraction form
    4,228/6,339.68 = 1,453.12/x
  3. Step 3: Cross multiply
    4,228x = 6,339.68 × 1,453.12
  4. Step 4: Simplify right side
    4,228x = 9,212,315.80
  5. Step 5: Solve for x
    x = 9,212,315.80/4,228
  6. Step 6: Final answer
    x = 2,178.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.