Home / 2,383.08-3,574.78-823.24

Finding the Fourth Proportional to 2,383.08, 3,574.78 and 823.24

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Solution

The fourth proportional to 2,383.08, 3,574.78 and 823.24 is: 1,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.08 : 3,574.78 = 823.24 : x
  2. Step 2: Convert to fraction form
    2,383.08/3,574.78 = 823.24/x
  3. Step 3: Cross multiply
    2,383.08x = 3,574.78 × 823.24
  4. Step 4: Simplify right side
    2,383.08x = 2,942,901.89
  5. Step 5: Solve for x
    x = 2,942,901.89/2,383.08
  6. Step 6: Final answer
    x = 1,234.92

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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.