Home / 1,612.26-2,224.92-949.12

Finding the Fourth Proportional to 1,612.26, 2,224.92 and 949.12

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Solution

The fourth proportional to 1,612.26, 2,224.92 and 949.12 is: 1,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.26 : 2,224.92 = 949.12 : x
  2. Step 2: Convert to fraction form
    1,612.26/2,224.92 = 949.12/x
  3. Step 3: Cross multiply
    1,612.26x = 2,224.92 × 949.12
  4. Step 4: Simplify right side
    1,612.26x = 2,111,716.07
  5. Step 5: Solve for x
    x = 2,111,716.07/1,612.26
  6. Step 6: Final answer
    x = 1,309.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.