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Finding the Fourth Proportional to 2,278.67, 3,418.34 and 892.01

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Solution

The fourth proportional to 2,278.67, 3,418.34 and 892.01 is: 1,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.67 : 3,418.34 = 892.01 : x
  2. Step 2: Convert to fraction form
    2,278.67/3,418.34 = 892.01/x
  3. Step 3: Cross multiply
    2,278.67x = 3,418.34 × 892.01
  4. Step 4: Simplify right side
    2,278.67x = 3,049,197.55
  5. Step 5: Solve for x
    x = 3,049,197.55/2,278.67
  6. Step 6: Final answer
    x = 1,338.15

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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.