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Finding the Fourth Proportional to 1,892.50, 2,610.56 and 1,571.66

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Solution

The fourth proportional to 1,892.50, 2,610.56 and 1,571.66 is: 2,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.50 : 2,610.56 = 1,571.66 : x
  2. Step 2: Convert to fraction form
    1,892.50/2,610.56 = 1,571.66/x
  3. Step 3: Cross multiply
    1,892.50x = 2,610.56 × 1,571.66
  4. Step 4: Simplify right side
    1,892.50x = 4,102,912.73
  5. Step 5: Solve for x
    x = 4,102,912.73/1,892.50
  6. Step 6: Final answer
    x = 2,167.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.