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Finding the Fourth Proportional to 3,861.40, 5,791.56 and 1,264

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Solution

The fourth proportional to 3,861.40, 5,791.56 and 1,264 is: 1,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.40 : 5,791.56 = 1,264 : x
  2. Step 2: Convert to fraction form
    3,861.40/5,791.56 = 1,264/x
  3. Step 3: Cross multiply
    3,861.40x = 5,791.56 × 1,264
  4. Step 4: Simplify right side
    3,861.40x = 7,320,531.84
  5. Step 5: Solve for x
    x = 7,320,531.84/3,861.40
  6. Step 6: Final answer
    x = 1,895.82

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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.