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Finding the Fourth Proportional to 3,818.94, 5,729.31 and 1,186.31

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Solution

The fourth proportional to 3,818.94, 5,729.31 and 1,186.31 is: 1,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.94 : 5,729.31 = 1,186.31 : x
  2. Step 2: Convert to fraction form
    3,818.94/5,729.31 = 1,186.31/x
  3. Step 3: Cross multiply
    3,818.94x = 5,729.31 × 1,186.31
  4. Step 4: Simplify right side
    3,818.94x = 6,796,737.75
  5. Step 5: Solve for x
    x = 6,796,737.75/3,818.94
  6. Step 6: Final answer
    x = 1,779.74

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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.