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Finding the Fourth Proportional to 3,912.60, 5,865.21 and 1,313.72

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Solution

The fourth proportional to 3,912.60, 5,865.21 and 1,313.72 is: 1,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.60 : 5,865.21 = 1,313.72 : x
  2. Step 2: Convert to fraction form
    3,912.60/5,865.21 = 1,313.72/x
  3. Step 3: Cross multiply
    3,912.60x = 5,865.21 × 1,313.72
  4. Step 4: Simplify right side
    3,912.60x = 7,705,236.35
  5. Step 5: Solve for x
    x = 7,705,236.35/3,912.60
  6. Step 6: Final answer
    x = 1,969.34

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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.