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Finding the Fourth Proportional to 11,538, 17,314.68 and 4,242

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Solution

The fourth proportional to 11,538, 17,314.68 and 4,242 is: 6,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538 : 17,314.68 = 4,242 : x
  2. Step 2: Convert to fraction form
    11,538/17,314.68 = 4,242/x
  3. Step 3: Cross multiply
    11,538x = 17,314.68 × 4,242
  4. Step 4: Simplify right side
    11,538x = 73,448,872.56
  5. Step 5: Solve for x
    x = 73,448,872.56/11,538
  6. Step 6: Final answer
    x = 6,365.82

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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.