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Finding the Fourth Proportional to 2,226.78, 3,340.17 and 1,258.83

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Solution

The fourth proportional to 2,226.78, 3,340.17 and 1,258.83 is: 1,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.78 : 3,340.17 = 1,258.83 : x
  2. Step 2: Convert to fraction form
    2,226.78/3,340.17 = 1,258.83/x
  3. Step 3: Cross multiply
    2,226.78x = 3,340.17 × 1,258.83
  4. Step 4: Simplify right side
    2,226.78x = 4,204,706.20
  5. Step 5: Solve for x
    x = 4,204,706.20/2,226.78
  6. Step 6: Final answer
    x = 1,888.25

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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.