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Finding the Fourth Proportional to 6,639.68, 9,961.98 and 3,174.56

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Solution

The fourth proportional to 6,639.68, 9,961.98 and 3,174.56 is: 4,763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,639.68 : 9,961.98 = 3,174.56 : x
  2. Step 2: Convert to fraction form
    6,639.68/9,961.98 = 3,174.56/x
  3. Step 3: Cross multiply
    6,639.68x = 9,961.98 × 3,174.56
  4. Step 4: Simplify right side
    6,639.68x = 31,624,903.23
  5. Step 5: Solve for x
    x = 31,624,903.23/6,639.68
  6. Step 6: Final answer
    x = 4,763.02

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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.