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Finding the Fourth Proportional to 1,863.36, 2,792.46 and 821.81

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Solution

The fourth proportional to 1,863.36, 2,792.46 and 821.81 is: 1,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.36 : 2,792.46 = 821.81 : x
  2. Step 2: Convert to fraction form
    1,863.36/2,792.46 = 821.81/x
  3. Step 3: Cross multiply
    1,863.36x = 2,792.46 × 821.81
  4. Step 4: Simplify right side
    1,863.36x = 2,294,857.59
  5. Step 5: Solve for x
    x = 2,294,857.59/1,863.36
  6. Step 6: Final answer
    x = 1,231.57

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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.