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Finding the Fourth Proportional to 2,553.19, 3,829.82 and 821.81

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Solution

The fourth proportional to 2,553.19, 3,829.82 and 821.81 is: 1,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.19 : 3,829.82 = 821.81 : x
  2. Step 2: Convert to fraction form
    2,553.19/3,829.82 = 821.81/x
  3. Step 3: Cross multiply
    2,553.19x = 3,829.82 × 821.81
  4. Step 4: Simplify right side
    2,553.19x = 3,147,389.84
  5. Step 5: Solve for x
    x = 3,147,389.84/2,553.19
  6. Step 6: Final answer
    x = 1,232.73

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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.