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Finding the Fourth Proportional to 5,171.70, 7,137.02 and 2,813.84

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Solution

The fourth proportional to 5,171.70, 7,137.02 and 2,813.84 is: 3,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.70 : 7,137.02 = 2,813.84 : x
  2. Step 2: Convert to fraction form
    5,171.70/7,137.02 = 2,813.84/x
  3. Step 3: Cross multiply
    5,171.70x = 7,137.02 × 2,813.84
  4. Step 4: Simplify right side
    5,171.70x = 20,082,432.36
  5. Step 5: Solve for x
    x = 20,082,432.36/5,171.70
  6. Step 6: Final answer
    x = 3,883.14

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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.