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Finding the Fourth Proportional to 6,940.53, 10,403.46 and 3,239.64

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Solution

The fourth proportional to 6,940.53, 10,403.46 and 3,239.64 is: 4,856.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.53 : 10,403.46 = 3,239.64 : x
  2. Step 2: Convert to fraction form
    6,940.53/10,403.46 = 3,239.64/x
  3. Step 3: Cross multiply
    6,940.53x = 10,403.46 × 3,239.64
  4. Step 4: Simplify right side
    6,940.53x = 33,703,465.15
  5. Step 5: Solve for x
    x = 33,703,465.15/6,940.53
  6. Step 6: Final answer
    x = 4,856.04

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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.