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Finding the Fourth Proportional to 3,758.73, 5,192 and 2,885.32

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Solution

The fourth proportional to 3,758.73, 5,192 and 2,885.32 is: 3,985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.73 : 5,192 = 2,885.32 : x
  2. Step 2: Convert to fraction form
    3,758.73/5,192 = 2,885.32/x
  3. Step 3: Cross multiply
    3,758.73x = 5,192 × 2,885.32
  4. Step 4: Simplify right side
    3,758.73x = 14,980,581.44
  5. Step 5: Solve for x
    x = 14,980,581.44/3,758.73
  6. Step 6: Final answer
    x = 3,985.54

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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.