Home / 2,284.77-3,427.17-823.92

Finding the Fourth Proportional to 2,284.77, 3,427.17 and 823.92

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Solution

The fourth proportional to 2,284.77, 3,427.17 and 823.92 is: 1,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.77 : 3,427.17 = 823.92 : x
  2. Step 2: Convert to fraction form
    2,284.77/3,427.17 = 823.92/x
  3. Step 3: Cross multiply
    2,284.77x = 3,427.17 × 823.92
  4. Step 4: Simplify right side
    2,284.77x = 2,823,723.04
  5. Step 5: Solve for x
    x = 2,823,723.04/2,284.77
  6. Step 6: Final answer
    x = 1,235.89

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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.