Home / 7,212-10,814.46-2,828.28

Finding the Fourth Proportional to 7,212, 10,814.46 and 2,828.28

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Solution

The fourth proportional to 7,212, 10,814.46 and 2,828.28 is: 4,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212 : 10,814.46 = 2,828.28 : x
  2. Step 2: Convert to fraction form
    7,212/10,814.46 = 2,828.28/x
  3. Step 3: Cross multiply
    7,212x = 10,814.46 × 2,828.28
  4. Step 4: Simplify right side
    7,212x = 30,586,320.93
  5. Step 5: Solve for x
    x = 30,586,320.93/7,212
  6. Step 6: Final answer
    x = 4,241.03

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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.