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Finding the Fourth Proportional to 3,186.70, 4,780.11 and 1,106.78

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Solution

The fourth proportional to 3,186.70, 4,780.11 and 1,106.78 is: 1,660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.70 : 4,780.11 = 1,106.78 : x
  2. Step 2: Convert to fraction form
    3,186.70/4,780.11 = 1,106.78/x
  3. Step 3: Cross multiply
    3,186.70x = 4,780.11 × 1,106.78
  4. Step 4: Simplify right side
    3,186.70x = 5,290,530.15
  5. Step 5: Solve for x
    x = 5,290,530.15/3,186.70
  6. Step 6: Final answer
    x = 1,660.19

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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.