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Finding the Fourth Proportional to 2,278, 3,416.70 and 890.37

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Solution

The fourth proportional to 2,278, 3,416.70 and 890.37 is: 1,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278 : 3,416.70 = 890.37 : x
  2. Step 2: Convert to fraction form
    2,278/3,416.70 = 890.37/x
  3. Step 3: Cross multiply
    2,278x = 3,416.70 × 890.37
  4. Step 4: Simplify right side
    2,278x = 3,042,122.73
  5. Step 5: Solve for x
    x = 3,042,122.73/2,278
  6. Step 6: Final answer
    x = 1,335.44

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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.