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Finding the Fourth Proportional to 3,857.88, 5,779.86 and 3,245.40

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Solution

The fourth proportional to 3,857.88, 5,779.86 and 3,245.40 is: 4,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.88 : 5,779.86 = 3,245.40 : x
  2. Step 2: Convert to fraction form
    3,857.88/5,779.86 = 3,245.40/x
  3. Step 3: Cross multiply
    3,857.88x = 5,779.86 × 3,245.40
  4. Step 4: Simplify right side
    3,857.88x = 18,757,957.64
  5. Step 5: Solve for x
    x = 18,757,957.64/3,857.88
  6. Step 6: Final answer
    x = 4,862.24

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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.