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Finding the Fourth Proportional to 19,983.68, 29,976 and 6,835.96

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Solution

The fourth proportional to 19,983.68, 29,976 and 6,835.96 is: 10,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983.68 : 29,976 = 6,835.96 : x
  2. Step 2: Convert to fraction form
    19,983.68/29,976 = 6,835.96/x
  3. Step 3: Cross multiply
    19,983.68x = 29,976 × 6,835.96
  4. Step 4: Simplify right side
    19,983.68x = 204,914,736.96
  5. Step 5: Solve for x
    x = 204,914,736.96/19,983.68
  6. Step 6: Final answer
    x = 10,254.10

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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.