Home / 1,810.33-2,713.62-823.83

Finding the Fourth Proportional to 1,810.33, 2,713.62 and 823.83

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Solution

The fourth proportional to 1,810.33, 2,713.62 and 823.83 is: 1,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.33 : 2,713.62 = 823.83 : x
  2. Step 2: Convert to fraction form
    1,810.33/2,713.62 = 823.83/x
  3. Step 3: Cross multiply
    1,810.33x = 2,713.62 × 823.83
  4. Step 4: Simplify right side
    1,810.33x = 2,235,561.56
  5. Step 5: Solve for x
    x = 2,235,561.56/1,810.33
  6. Step 6: Final answer
    x = 1,234.89

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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.