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Finding the Fourth Proportional to 19,877.94, 29,815.10 and 6,728.82

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Solution

The fourth proportional to 19,877.94, 29,815.10 and 6,728.82 is: 10,092.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.94 : 29,815.10 = 6,728.82 : x
  2. Step 2: Convert to fraction form
    19,877.94/29,815.10 = 6,728.82/x
  3. Step 3: Cross multiply
    19,877.94x = 29,815.10 × 6,728.82
  4. Step 4: Simplify right side
    19,877.94x = 200,620,441.18
  5. Step 5: Solve for x
    x = 200,620,441.18/19,877.94
  6. Step 6: Final answer
    x = 10,092.62

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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.