Home / 1,861.14-2,792.22-821.97

Finding the Fourth Proportional to 1,861.14, 2,792.22 and 821.97

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Solution

The fourth proportional to 1,861.14, 2,792.22 and 821.97 is: 1,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.14 : 2,792.22 = 821.97 : x
  2. Step 2: Convert to fraction form
    1,861.14/2,792.22 = 821.97/x
  3. Step 3: Cross multiply
    1,861.14x = 2,792.22 × 821.97
  4. Step 4: Simplify right side
    1,861.14x = 2,295,103.00
  5. Step 5: Solve for x
    x = 2,295,103.00/1,861.14
  6. Step 6: Final answer
    x = 1,233.17

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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.