Home / 2,285.30-3,425.88-823.42

Finding the Fourth Proportional to 2,285.30, 3,425.88 and 823.42

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Solution

The fourth proportional to 2,285.30, 3,425.88 and 823.42 is: 1,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.30 : 3,425.88 = 823.42 : x
  2. Step 2: Convert to fraction form
    2,285.30/3,425.88 = 823.42/x
  3. Step 3: Cross multiply
    2,285.30x = 3,425.88 × 823.42
  4. Step 4: Simplify right side
    2,285.30x = 2,820,938.11
  5. Step 5: Solve for x
    x = 2,820,938.11/2,285.30
  6. Step 6: Final answer
    x = 1,234.38

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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.