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Finding the Fourth Proportional to 25,728, 38,591.54 and 7,007.73

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Solution

The fourth proportional to 25,728, 38,591.54 and 7,007.73 is: 10,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728 : 38,591.54 = 7,007.73 : x
  2. Step 2: Convert to fraction form
    25,728/38,591.54 = 7,007.73/x
  3. Step 3: Cross multiply
    25,728x = 38,591.54 × 7,007.73
  4. Step 4: Simplify right side
    25,728x = 270,439,092.60
  5. Step 5: Solve for x
    x = 270,439,092.60/25,728
  6. Step 6: Final answer
    x = 10,511.47

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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.