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Finding the Fourth Proportional to 3,770.34, 5,204.15 and 2,278

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Solution

The fourth proportional to 3,770.34, 5,204.15 and 2,278 is: 3,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.34 : 5,204.15 = 2,278 : x
  2. Step 2: Convert to fraction form
    3,770.34/5,204.15 = 2,278/x
  3. Step 3: Cross multiply
    3,770.34x = 5,204.15 × 2,278
  4. Step 4: Simplify right side
    3,770.34x = 11,855,053.70
  5. Step 5: Solve for x
    x = 11,855,053.70/3,770.34
  6. Step 6: Final answer
    x = 3,144.29

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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.