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Finding the Fourth Proportional to 3,784, 5,676.64 and 1,186.44

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Solution

The fourth proportional to 3,784, 5,676.64 and 1,186.44 is: 1,779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784 : 5,676.64 = 1,186.44 : x
  2. Step 2: Convert to fraction form
    3,784/5,676.64 = 1,186.44/x
  3. Step 3: Cross multiply
    3,784x = 5,676.64 × 1,186.44
  4. Step 4: Simplify right side
    3,784x = 6,734,992.76
  5. Step 5: Solve for x
    x = 6,734,992.76/3,784
  6. Step 6: Final answer
    x = 1,779.86

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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.