Home / 2,112.16-3,169.44-814.72

Finding the Fourth Proportional to 2,112.16, 3,169.44 and 814.72

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Solution

The fourth proportional to 2,112.16, 3,169.44 and 814.72 is: 1,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.16 : 3,169.44 = 814.72 : x
  2. Step 2: Convert to fraction form
    2,112.16/3,169.44 = 814.72/x
  3. Step 3: Cross multiply
    2,112.16x = 3,169.44 × 814.72
  4. Step 4: Simplify right side
    2,112.16x = 2,582,206.16
  5. Step 5: Solve for x
    x = 2,582,206.16/2,112.16
  6. Step 6: Final answer
    x = 1,222.54

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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.