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Finding the Fourth Proportional to 5,166.94, 7,740.69 and 2,571.70

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Solution

The fourth proportional to 5,166.94, 7,740.69 and 2,571.70 is: 3,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.94 : 7,740.69 = 2,571.70 : x
  2. Step 2: Convert to fraction form
    5,166.94/7,740.69 = 2,571.70/x
  3. Step 3: Cross multiply
    5,166.94x = 7,740.69 × 2,571.70
  4. Step 4: Simplify right side
    5,166.94x = 19,906,732.47
  5. Step 5: Solve for x
    x = 19,906,732.47/5,166.94
  6. Step 6: Final answer
    x = 3,852.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.