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Finding the Fourth Proportional to 9,999, 14,999.24 and 3,843

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Solution

The fourth proportional to 9,999, 14,999.24 and 3,843 is: 5,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999 : 14,999.24 = 3,843 : x
  2. Step 2: Convert to fraction form
    9,999/14,999.24 = 3,843/x
  3. Step 3: Cross multiply
    9,999x = 14,999.24 × 3,843
  4. Step 4: Simplify right side
    9,999x = 57,642,079.32
  5. Step 5: Solve for x
    x = 57,642,079.32/9,999
  6. Step 6: Final answer
    x = 5,764.78

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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.