Home / 2,278.83-3,144.84-1,284.09

Finding the Fourth Proportional to 2,278.83, 3,144.84 and 1,284.09

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Solution

The fourth proportional to 2,278.83, 3,144.84 and 1,284.09 is: 1,772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.83 : 3,144.84 = 1,284.09 : x
  2. Step 2: Convert to fraction form
    2,278.83/3,144.84 = 1,284.09/x
  3. Step 3: Cross multiply
    2,278.83x = 3,144.84 × 1,284.09
  4. Step 4: Simplify right side
    2,278.83x = 4,038,257.60
  5. Step 5: Solve for x
    x = 4,038,257.60/2,278.83
  6. Step 6: Final answer
    x = 1,772.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.