Home / 2,285.08-3,425.56-823.21

Finding the Fourth Proportional to 2,285.08, 3,425.56 and 823.21

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Solution

The fourth proportional to 2,285.08, 3,425.56 and 823.21 is: 1,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.08 : 3,425.56 = 823.21 : x
  2. Step 2: Convert to fraction form
    2,285.08/3,425.56 = 823.21/x
  3. Step 3: Cross multiply
    2,285.08x = 3,425.56 × 823.21
  4. Step 4: Simplify right side
    2,285.08x = 2,819,955.25
  5. Step 5: Solve for x
    x = 2,819,955.25/2,285.08
  6. Step 6: Final answer
    x = 1,234.07

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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.