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Finding the Fourth Proportional to 19,982, 29,973 and 6,131

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Solution

The fourth proportional to 19,982, 29,973 and 6,131 is: 9,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982 : 29,973 = 6,131 : x
  2. Step 2: Convert to fraction form
    19,982/29,973 = 6,131/x
  3. Step 3: Cross multiply
    19,982x = 29,973 × 6,131
  4. Step 4: Simplify right side
    19,982x = 183,764,463
  5. Step 5: Solve for x
    x = 183,764,463/19,982
  6. Step 6: Final answer
    x = 9,196.50

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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.