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Finding the Fourth Proportional to 11,907, 17,859.13 and 3,142.60

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Solution

The fourth proportional to 11,907, 17,859.13 and 3,142.60 is: 4,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907 : 17,859.13 = 3,142.60 : x
  2. Step 2: Convert to fraction form
    11,907/17,859.13 = 3,142.60/x
  3. Step 3: Cross multiply
    11,907x = 17,859.13 × 3,142.60
  4. Step 4: Simplify right side
    11,907x = 56,124,049.43
  5. Step 5: Solve for x
    x = 56,124,049.43/11,907
  6. Step 6: Final answer
    x = 4,713.53

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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.