Home / 1,823.09-2,734.21-727.16

Finding the Fourth Proportional to 1,823.09, 2,734.21 and 727.16

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Solution

The fourth proportional to 1,823.09, 2,734.21 and 727.16 is: 1,090.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.09 : 2,734.21 = 727.16 : x
  2. Step 2: Convert to fraction form
    1,823.09/2,734.21 = 727.16/x
  3. Step 3: Cross multiply
    1,823.09x = 2,734.21 × 727.16
  4. Step 4: Simplify right side
    1,823.09x = 1,988,208.14
  5. Step 5: Solve for x
    x = 1,988,208.14/1,823.09
  6. Step 6: Final answer
    x = 1,090.57

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1.5x scale

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.