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Finding the Fourth Proportional to 3,816, 5,266.08 and 2,245.05

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Solution

The fourth proportional to 3,816, 5,266.08 and 2,245.05 is: 3,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816 : 5,266.08 = 2,245.05 : x
  2. Step 2: Convert to fraction form
    3,816/5,266.08 = 2,245.05/x
  3. Step 3: Cross multiply
    3,816x = 5,266.08 × 2,245.05
  4. Step 4: Simplify right side
    3,816x = 11,822,612.90
  5. Step 5: Solve for x
    x = 11,822,612.90/3,816
  6. Step 6: Final answer
    x = 3,098.17

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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.