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Finding the Fourth Proportional to 19,829, 27,364.02 and 10,997

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Solution

The fourth proportional to 19,829, 27,364.02 and 10,997 is: 15,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829 : 27,364.02 = 10,997 : x
  2. Step 2: Convert to fraction form
    19,829/27,364.02 = 10,997/x
  3. Step 3: Cross multiply
    19,829x = 27,364.02 × 10,997
  4. Step 4: Simplify right side
    19,829x = 300,922,127.94
  5. Step 5: Solve for x
    x = 300,922,127.94/19,829
  6. Step 6: Final answer
    x = 15,175.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.