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Finding the Fourth Proportional to 19,891.77, 29,838 and 6,744.49

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Solution

The fourth proportional to 19,891.77, 29,838 and 6,744.49 is: 10,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.77 : 29,838 = 6,744.49 : x
  2. Step 2: Convert to fraction form
    19,891.77/29,838 = 6,744.49/x
  3. Step 3: Cross multiply
    19,891.77x = 29,838 × 6,744.49
  4. Step 4: Simplify right side
    19,891.77x = 201,242,092.62
  5. Step 5: Solve for x
    x = 201,242,092.62/19,891.77
  6. Step 6: Final answer
    x = 10,116.85

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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.