Home / 1,634.09-2,449.78-812.94

Finding the Fourth Proportional to 1,634.09, 2,449.78 and 812.94

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Solution

The fourth proportional to 1,634.09, 2,449.78 and 812.94 is: 1,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.09 : 2,449.78 = 812.94 : x
  2. Step 2: Convert to fraction form
    1,634.09/2,449.78 = 812.94/x
  3. Step 3: Cross multiply
    1,634.09x = 2,449.78 × 812.94
  4. Step 4: Simplify right side
    1,634.09x = 1,991,524.15
  5. Step 5: Solve for x
    x = 1,991,524.15/1,634.09
  6. Step 6: Final answer
    x = 1,218.74

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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.