Home / 2,811.78-3,876.65-2,305.78

Finding the Fourth Proportional to 2,811.78, 3,876.65 and 2,305.78

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Solution

The fourth proportional to 2,811.78, 3,876.65 and 2,305.78 is: 3,179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.78 : 3,876.65 = 2,305.78 : x
  2. Step 2: Convert to fraction form
    2,811.78/3,876.65 = 2,305.78/x
  3. Step 3: Cross multiply
    2,811.78x = 3,876.65 × 2,305.78
  4. Step 4: Simplify right side
    2,811.78x = 8,938,671.12
  5. Step 5: Solve for x
    x = 8,938,671.12/2,811.78
  6. Step 6: Final answer
    x = 3,179.01

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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.