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Finding the Fourth Proportional to 10,660.56, 15,991.32 and 3,264.48

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Solution

The fourth proportional to 10,660.56, 15,991.32 and 3,264.48 is: 4,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.56 : 15,991.32 = 3,264.48 : x
  2. Step 2: Convert to fraction form
    10,660.56/15,991.32 = 3,264.48/x
  3. Step 3: Cross multiply
    10,660.56x = 15,991.32 × 3,264.48
  4. Step 4: Simplify right side
    10,660.56x = 52,203,344.31
  5. Step 5: Solve for x
    x = 52,203,344.31/10,660.56
  6. Step 6: Final answer
    x = 4,896.87

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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.