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Finding the Fourth Proportional to 2,872.66, 3,960.80 and 2,234.78

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Solution

The fourth proportional to 2,872.66, 3,960.80 and 2,234.78 is: 3,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.66 : 3,960.80 = 2,234.78 : x
  2. Step 2: Convert to fraction form
    2,872.66/3,960.80 = 2,234.78/x
  3. Step 3: Cross multiply
    2,872.66x = 3,960.80 × 2,234.78
  4. Step 4: Simplify right side
    2,872.66x = 8,851,505.45
  5. Step 5: Solve for x
    x = 8,851,505.45/2,872.66
  6. Step 6: Final answer
    x = 3,081.30

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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.