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Finding the Fourth Proportional to 2,769.28, 4,153.20 and 821.03

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Solution

The fourth proportional to 2,769.28, 4,153.20 and 821.03 is: 1,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.28 : 4,153.20 = 821.03 : x
  2. Step 2: Convert to fraction form
    2,769.28/4,153.20 = 821.03/x
  3. Step 3: Cross multiply
    2,769.28x = 4,153.20 × 821.03
  4. Step 4: Simplify right side
    2,769.28x = 3,409,881.03
  5. Step 5: Solve for x
    x = 3,409,881.03/2,769.28
  6. Step 6: Final answer
    x = 1,231.33

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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.