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Finding the Fourth Proportional to 19,902.89, 29,857.98 and 6,754.57

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Solution

The fourth proportional to 19,902.89, 29,857.98 and 6,754.57 is: 10,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.89 : 29,857.98 = 6,754.57 : x
  2. Step 2: Convert to fraction form
    19,902.89/29,857.98 = 6,754.57/x
  3. Step 3: Cross multiply
    19,902.89x = 29,857.98 × 6,754.57
  4. Step 4: Simplify right side
    19,902.89x = 201,677,815.97
  5. Step 5: Solve for x
    x = 201,677,815.97/19,902.89
  6. Step 6: Final answer
    x = 10,133.09

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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.