Home / 2,286.30-3,428.62-825.06

Finding the Fourth Proportional to 2,286.30, 3,428.62 and 825.06

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Solution

The fourth proportional to 2,286.30, 3,428.62 and 825.06 is: 1,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.30 : 3,428.62 = 825.06 : x
  2. Step 2: Convert to fraction form
    2,286.30/3,428.62 = 825.06/x
  3. Step 3: Cross multiply
    2,286.30x = 3,428.62 × 825.06
  4. Step 4: Simplify right side
    2,286.30x = 2,828,817.22
  5. Step 5: Solve for x
    x = 2,828,817.22/2,286.30
  6. Step 6: Final answer
    x = 1,237.29

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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.