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Finding the Fourth Proportional to 9,327, 13,992.42 and 3,855

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Solution

The fourth proportional to 9,327, 13,992.42 and 3,855 is: 5,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327 : 13,992.42 = 3,855 : x
  2. Step 2: Convert to fraction form
    9,327/13,992.42 = 3,855/x
  3. Step 3: Cross multiply
    9,327x = 13,992.42 × 3,855
  4. Step 4: Simplify right side
    9,327x = 53,940,779.10
  5. Step 5: Solve for x
    x = 53,940,779.10/9,327
  6. Step 6: Final answer
    x = 5,783.29

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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.