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Finding the Fourth Proportional to 6,940.65, 10,400.64 and 5,461.38

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Solution

The fourth proportional to 6,940.65, 10,400.64 and 5,461.38 is: 8,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.65 : 10,400.64 = 5,461.38 : x
  2. Step 2: Convert to fraction form
    6,940.65/10,400.64 = 5,461.38/x
  3. Step 3: Cross multiply
    6,940.65x = 10,400.64 × 5,461.38
  4. Step 4: Simplify right side
    6,940.65x = 56,801,847.28
  5. Step 5: Solve for x
    x = 56,801,847.28/6,940.65
  6. Step 6: Final answer
    x = 8,183.94

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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.