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Finding the Fourth Proportional to 2,813.66, 3,883.09 and 1,867.78

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Solution

The fourth proportional to 2,813.66, 3,883.09 and 1,867.78 is: 2,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.66 : 3,883.09 = 1,867.78 : x
  2. Step 2: Convert to fraction form
    2,813.66/3,883.09 = 1,867.78/x
  3. Step 3: Cross multiply
    2,813.66x = 3,883.09 × 1,867.78
  4. Step 4: Simplify right side
    2,813.66x = 7,252,738.42
  5. Step 5: Solve for x
    x = 7,252,738.42/2,813.66
  6. Step 6: Final answer
    x = 2,577.69

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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.