Home / 2,285.28-3,428.19-825.12

Finding the Fourth Proportional to 2,285.28, 3,428.19 and 825.12

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Solution

The fourth proportional to 2,285.28, 3,428.19 and 825.12 is: 1,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.28 : 3,428.19 = 825.12 : x
  2. Step 2: Convert to fraction form
    2,285.28/3,428.19 = 825.12/x
  3. Step 3: Cross multiply
    2,285.28x = 3,428.19 × 825.12
  4. Step 4: Simplify right side
    2,285.28x = 2,828,668.13
  5. Step 5: Solve for x
    x = 2,828,668.13/2,285.28
  6. Step 6: Final answer
    x = 1,237.78

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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.