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Finding the Fourth Proportional to 5,871.32, 8,105.68 and 3,993

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Solution

The fourth proportional to 5,871.32, 8,105.68 and 3,993 is: 5,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.32 : 8,105.68 = 3,993 : x
  2. Step 2: Convert to fraction form
    5,871.32/8,105.68 = 3,993/x
  3. Step 3: Cross multiply
    5,871.32x = 8,105.68 × 3,993
  4. Step 4: Simplify right side
    5,871.32x = 32,365,980.24
  5. Step 5: Solve for x
    x = 32,365,980.24/5,871.32
  6. Step 6: Final answer
    x = 5,512.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.