Home / 2,284.67-3,428.40-823.70

Finding the Fourth Proportional to 2,284.67, 3,428.40 and 823.70

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Solution

The fourth proportional to 2,284.67, 3,428.40 and 823.70 is: 1,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.67 : 3,428.40 = 823.70 : x
  2. Step 2: Convert to fraction form
    2,284.67/3,428.40 = 823.70/x
  3. Step 3: Cross multiply
    2,284.67x = 3,428.40 × 823.70
  4. Step 4: Simplify right side
    2,284.67x = 2,823,973.08
  5. Step 5: Solve for x
    x = 2,823,973.08/2,284.67
  6. Step 6: Final answer
    x = 1,236.05

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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.