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Finding the Fourth Proportional to 10,597.28, 15,903.86 and 3,939.92

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Solution

The fourth proportional to 10,597.28, 15,903.86 and 3,939.92 is: 5,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.28 : 15,903.86 = 3,939.92 : x
  2. Step 2: Convert to fraction form
    10,597.28/15,903.86 = 3,939.92/x
  3. Step 3: Cross multiply
    10,597.28x = 15,903.86 × 3,939.92
  4. Step 4: Simplify right side
    10,597.28x = 62,659,936.09
  5. Step 5: Solve for x
    x = 62,659,936.09/10,597.28
  6. Step 6: Final answer
    x = 5,912.83

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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.