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Finding the Fourth Proportional to 6,940.96, 10,430.88 and 3,480.64

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Solution

The fourth proportional to 6,940.96, 10,430.88 and 3,480.64 is: 5,230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.96 : 10,430.88 = 3,480.64 : x
  2. Step 2: Convert to fraction form
    6,940.96/10,430.88 = 3,480.64/x
  3. Step 3: Cross multiply
    6,940.96x = 10,430.88 × 3,480.64
  4. Step 4: Simplify right side
    6,940.96x = 36,306,138.16
  5. Step 5: Solve for x
    x = 36,306,138.16/6,940.96
  6. Step 6: Final answer
    x = 5,230.71

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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.