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Finding the Fourth Proportional to 3,186.14, 4,779.03 and 994.61

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Solution

The fourth proportional to 3,186.14, 4,779.03 and 994.61 is: 1,491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.14 : 4,779.03 = 994.61 : x
  2. Step 2: Convert to fraction form
    3,186.14/4,779.03 = 994.61/x
  3. Step 3: Cross multiply
    3,186.14x = 4,779.03 × 994.61
  4. Step 4: Simplify right side
    3,186.14x = 4,753,286.71
  5. Step 5: Solve for x
    x = 4,753,286.71/3,186.14
  6. Step 6: Final answer
    x = 1,491.87

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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.