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Finding the Fourth Proportional to 19,804, 27,329.52 and 10,972

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Solution

The fourth proportional to 19,804, 27,329.52 and 10,972 is: 15,141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804 : 27,329.52 = 10,972 : x
  2. Step 2: Convert to fraction form
    19,804/27,329.52 = 10,972/x
  3. Step 3: Cross multiply
    19,804x = 27,329.52 × 10,972
  4. Step 4: Simplify right side
    19,804x = 299,859,493.44
  5. Step 5: Solve for x
    x = 299,859,493.44/19,804
  6. Step 6: Final answer
    x = 15,141.36

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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.