Home / 1,863.32-2,792.36-821.75

Finding the Fourth Proportional to 1,863.32, 2,792.36 and 821.75

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Solution

The fourth proportional to 1,863.32, 2,792.36 and 821.75 is: 1,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.32 : 2,792.36 = 821.75 : x
  2. Step 2: Convert to fraction form
    1,863.32/2,792.36 = 821.75/x
  3. Step 3: Cross multiply
    1,863.32x = 2,792.36 × 821.75
  4. Step 4: Simplify right side
    1,863.32x = 2,294,609.92
  5. Step 5: Solve for x
    x = 2,294,609.92/1,863.32
  6. Step 6: Final answer
    x = 1,231.47

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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.