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Finding the Fourth Proportional to 2,278.35, 3,418.34 and 980.73

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Solution

The fourth proportional to 2,278.35, 3,418.34 and 980.73 is: 1,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.35 : 3,418.34 = 980.73 : x
  2. Step 2: Convert to fraction form
    2,278.35/3,418.34 = 980.73/x
  3. Step 3: Cross multiply
    2,278.35x = 3,418.34 × 980.73
  4. Step 4: Simplify right side
    2,278.35x = 3,352,463.68
  5. Step 5: Solve for x
    x = 3,352,463.68/2,278.35
  6. Step 6: Final answer
    x = 1,471.44

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Why These Related Problems?

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