Home / 2,278.15-3,418.31-817.45

Finding the Fourth Proportional to 2,278.15, 3,418.31 and 817.45

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Solution

The fourth proportional to 2,278.15, 3,418.31 and 817.45 is: 1,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.15 : 3,418.31 = 817.45 : x
  2. Step 2: Convert to fraction form
    2,278.15/3,418.31 = 817.45/x
  3. Step 3: Cross multiply
    2,278.15x = 3,418.31 × 817.45
  4. Step 4: Simplify right side
    2,278.15x = 2,794,297.51
  5. Step 5: Solve for x
    x = 2,794,297.51/2,278.15
  6. Step 6: Final answer
    x = 1,226.56

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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.