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Finding the Fourth Proportional to 2,769.94, 4,154.92 and 822.16

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Solution

The fourth proportional to 2,769.94, 4,154.92 and 822.16 is: 1,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.94 : 4,154.92 = 822.16 : x
  2. Step 2: Convert to fraction form
    2,769.94/4,154.92 = 822.16/x
  3. Step 3: Cross multiply
    2,769.94x = 4,154.92 × 822.16
  4. Step 4: Simplify right side
    2,769.94x = 3,416,009.03
  5. Step 5: Solve for x
    x = 3,416,009.03/2,769.94
  6. Step 6: Final answer
    x = 1,233.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.