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Finding the Fourth Proportional to 2,229.64, 3,076.88 and 1,234.88

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Solution

The fourth proportional to 2,229.64, 3,076.88 and 1,234.88 is: 1,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.64 : 3,076.88 = 1,234.88 : x
  2. Step 2: Convert to fraction form
    2,229.64/3,076.88 = 1,234.88/x
  3. Step 3: Cross multiply
    2,229.64x = 3,076.88 × 1,234.88
  4. Step 4: Simplify right side
    2,229.64x = 3,799,577.57
  5. Step 5: Solve for x
    x = 3,799,577.57/2,229.64
  6. Step 6: Final answer
    x = 1,704.12

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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.