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Finding the Fourth Proportional to 3,186.88, 4,778.52 and 994.96

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Solution

The fourth proportional to 3,186.88, 4,778.52 and 994.96 is: 1,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.88 : 4,778.52 = 994.96 : x
  2. Step 2: Convert to fraction form
    3,186.88/4,778.52 = 994.96/x
  3. Step 3: Cross multiply
    3,186.88x = 4,778.52 × 994.96
  4. Step 4: Simplify right side
    3,186.88x = 4,754,436.26
  5. Step 5: Solve for x
    x = 4,754,436.26/3,186.88
  6. Step 6: Final answer
    x = 1,491.88

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1.5x scale

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.