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Finding the Fourth Proportional to 6,628.28, 9,942.19 and 1,697.96

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Solution

The fourth proportional to 6,628.28, 9,942.19 and 1,697.96 is: 2,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.28 : 9,942.19 = 1,697.96 : x
  2. Step 2: Convert to fraction form
    6,628.28/9,942.19 = 1,697.96/x
  3. Step 3: Cross multiply
    6,628.28x = 9,942.19 × 1,697.96
  4. Step 4: Simplify right side
    6,628.28x = 16,881,440.93
  5. Step 5: Solve for x
    x = 16,881,440.93/6,628.28
  6. Step 6: Final answer
    x = 2,546.88

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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.