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Finding the Fourth Proportional to 3,696.29, 5,102.76 and 2,855.11

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Solution

The fourth proportional to 3,696.29, 5,102.76 and 2,855.11 is: 3,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.29 : 5,102.76 = 2,855.11 : x
  2. Step 2: Convert to fraction form
    3,696.29/5,102.76 = 2,855.11/x
  3. Step 3: Cross multiply
    3,696.29x = 5,102.76 × 2,855.11
  4. Step 4: Simplify right side
    3,696.29x = 14,568,941.10
  5. Step 5: Solve for x
    x = 14,568,941.10/3,696.29
  6. Step 6: Final answer
    x = 3,941.50

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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.