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Finding the Fourth Proportional to 19,833, 29,761.02 and 8,889

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Solution

The fourth proportional to 19,833, 29,761.02 and 8,889 is: 13,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833 : 29,761.02 = 8,889 : x
  2. Step 2: Convert to fraction form
    19,833/29,761.02 = 8,889/x
  3. Step 3: Cross multiply
    19,833x = 29,761.02 × 8,889
  4. Step 4: Simplify right side
    19,833x = 264,545,706.78
  5. Step 5: Solve for x
    x = 264,545,706.78/19,833
  6. Step 6: Final answer
    x = 13,338.66

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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.