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Finding the Fourth Proportional to 9,992, 14,988.72 and 3,836

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Solution

The fourth proportional to 9,992, 14,988.72 and 3,836 is: 5,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992 : 14,988.72 = 3,836 : x
  2. Step 2: Convert to fraction form
    9,992/14,988.72 = 3,836/x
  3. Step 3: Cross multiply
    9,992x = 14,988.72 × 3,836
  4. Step 4: Simplify right side
    9,992x = 57,496,729.92
  5. Step 5: Solve for x
    x = 57,496,729.92/9,992
  6. Step 6: Final answer
    x = 5,754.28

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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.