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Finding the Fourth Proportional to 19,689, 29,538.36 and 5,838

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Solution

The fourth proportional to 19,689, 29,538.36 and 5,838 is: 8,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689 : 29,538.36 = 5,838 : x
  2. Step 2: Convert to fraction form
    19,689/29,538.36 = 5,838/x
  3. Step 3: Cross multiply
    19,689x = 29,538.36 × 5,838
  4. Step 4: Simplify right side
    19,689x = 172,444,945.68
  5. Step 5: Solve for x
    x = 172,444,945.68/19,689
  6. Step 6: Final answer
    x = 8,758.44

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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.