Home / 2,278.64-3,144.56-1,283.90

Finding the Fourth Proportional to 2,278.64, 3,144.56 and 1,283.90

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Solution

The fourth proportional to 2,278.64, 3,144.56 and 1,283.90 is: 1,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.64 : 3,144.56 = 1,283.90 : x
  2. Step 2: Convert to fraction form
    2,278.64/3,144.56 = 1,283.90/x
  3. Step 3: Cross multiply
    2,278.64x = 3,144.56 × 1,283.90
  4. Step 4: Simplify right side
    2,278.64x = 4,037,278.44
  5. Step 5: Solve for x
    x = 4,037,278.44/2,278.64
  6. Step 6: Final answer
    x = 1,771.79

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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.