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Finding the Fourth Proportional to 5,252.18, 7,875.97 and 2,786.44

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Solution

The fourth proportional to 5,252.18, 7,875.97 and 2,786.44 is: 4,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.18 : 7,875.97 = 2,786.44 : x
  2. Step 2: Convert to fraction form
    5,252.18/7,875.97 = 2,786.44/x
  3. Step 3: Cross multiply
    5,252.18x = 7,875.97 × 2,786.44
  4. Step 4: Simplify right side
    5,252.18x = 21,945,917.85
  5. Step 5: Solve for x
    x = 21,945,917.85/5,252.18
  6. Step 6: Final answer
    x = 4,178.44

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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.