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Finding the Fourth Proportional to 2,278.72, 3,418.08 and 892.21

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Solution

The fourth proportional to 2,278.72, 3,418.08 and 892.21 is: 1,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.72 : 3,418.08 = 892.21 : x
  2. Step 2: Convert to fraction form
    2,278.72/3,418.08 = 892.21/x
  3. Step 3: Cross multiply
    2,278.72x = 3,418.08 × 892.21
  4. Step 4: Simplify right side
    2,278.72x = 3,049,645.16
  5. Step 5: Solve for x
    x = 3,049,645.16/2,278.72
  6. Step 6: Final answer
    x = 1,338.32

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1.5x scale

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.