Home / 1,728.28-2,383.92-1,162.06

Finding the Fourth Proportional to 1,728.28, 2,383.92 and 1,162.06

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Solution

The fourth proportional to 1,728.28, 2,383.92 and 1,162.06 is: 1,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.28 : 2,383.92 = 1,162.06 : x
  2. Step 2: Convert to fraction form
    1,728.28/2,383.92 = 1,162.06/x
  3. Step 3: Cross multiply
    1,728.28x = 2,383.92 × 1,162.06
  4. Step 4: Simplify right side
    1,728.28x = 2,770,258.08
  5. Step 5: Solve for x
    x = 2,770,258.08/1,728.28
  6. Step 6: Final answer
    x = 1,602.90

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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.