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Finding the Fourth Proportional to 5,313.87, 7,969.12 and 1,936.25

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Solution

The fourth proportional to 5,313.87, 7,969.12 and 1,936.25 is: 2,903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.87 : 7,969.12 = 1,936.25 : x
  2. Step 2: Convert to fraction form
    5,313.87/7,969.12 = 1,936.25/x
  3. Step 3: Cross multiply
    5,313.87x = 7,969.12 × 1,936.25
  4. Step 4: Simplify right side
    5,313.87x = 15,430,163.91
  5. Step 5: Solve for x
    x = 15,430,163.91/5,313.87
  6. Step 6: Final answer
    x = 2,903.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.