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Finding the Fourth Proportional to 3,816, 5,266.80 and 2,244.96

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Solution

The fourth proportional to 3,816, 5,266.80 and 2,244.96 is: 3,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816 : 5,266.80 = 2,244.96 : x
  2. Step 2: Convert to fraction form
    3,816/5,266.80 = 2,244.96/x
  3. Step 3: Cross multiply
    3,816x = 5,266.80 × 2,244.96
  4. Step 4: Simplify right side
    3,816x = 11,823,755.33
  5. Step 5: Solve for x
    x = 11,823,755.33/3,816
  6. Step 6: Final answer
    x = 3,098.47

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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.