Home / 2,278.40-3,418.24-817.76

Finding the Fourth Proportional to 2,278.40, 3,418.24 and 817.76

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Solution

The fourth proportional to 2,278.40, 3,418.24 and 817.76 is: 1,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.40 : 3,418.24 = 817.76 : x
  2. Step 2: Convert to fraction form
    2,278.40/3,418.24 = 817.76/x
  3. Step 3: Cross multiply
    2,278.40x = 3,418.24 × 817.76
  4. Step 4: Simplify right side
    2,278.40x = 2,795,299.94
  5. Step 5: Solve for x
    x = 2,795,299.94/2,278.40
  6. Step 6: Final answer
    x = 1,226.87

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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.