Home / 2,278.82-3,144.70-1,284.08

Finding the Fourth Proportional to 2,278.82, 3,144.70 and 1,284.08

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Solution

The fourth proportional to 2,278.82, 3,144.70 and 1,284.08 is: 1,771.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.82 : 3,144.70 = 1,284.08 : x
  2. Step 2: Convert to fraction form
    2,278.82/3,144.70 = 1,284.08/x
  3. Step 3: Cross multiply
    2,278.82x = 3,144.70 × 1,284.08
  4. Step 4: Simplify right side
    2,278.82x = 4,038,027.44
  5. Step 5: Solve for x
    x = 4,038,027.44/2,278.82
  6. Step 6: Final answer
    x = 1,771.98

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1.5x scale

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.