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Finding the Fourth Proportional to 2,750.64, 4,126.37 and 995.78

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Solution

The fourth proportional to 2,750.64, 4,126.37 and 995.78 is: 1,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.64 : 4,126.37 = 995.78 : x
  2. Step 2: Convert to fraction form
    2,750.64/4,126.37 = 995.78/x
  3. Step 3: Cross multiply
    2,750.64x = 4,126.37 × 995.78
  4. Step 4: Simplify right side
    2,750.64x = 4,108,956.72
  5. Step 5: Solve for x
    x = 4,108,956.72/2,750.64
  6. Step 6: Final answer
    x = 1,493.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.