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Finding the Fourth Proportional to 2,278.89, 3,418.02 and 817.83

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Solution

The fourth proportional to 2,278.89, 3,418.02 and 817.83 is: 1,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.89 : 3,418.02 = 817.83 : x
  2. Step 2: Convert to fraction form
    2,278.89/3,418.02 = 817.83/x
  3. Step 3: Cross multiply
    2,278.89x = 3,418.02 × 817.83
  4. Step 4: Simplify right side
    2,278.89x = 2,795,359.30
  5. Step 5: Solve for x
    x = 2,795,359.30/2,278.89
  6. Step 6: Final answer
    x = 1,226.63

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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.