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Finding the Fourth Proportional to 2,892, 3,998.16 and 2,769.60

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Solution

The fourth proportional to 2,892, 3,998.16 and 2,769.60 is: 3,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892 : 3,998.16 = 2,769.60 : x
  2. Step 2: Convert to fraction form
    2,892/3,998.16 = 2,769.60/x
  3. Step 3: Cross multiply
    2,892x = 3,998.16 × 2,769.60
  4. Step 4: Simplify right side
    2,892x = 11,073,303.94
  5. Step 5: Solve for x
    x = 11,073,303.94/2,892
  6. Step 6: Final answer
    x = 3,828.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.