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Finding the Fourth Proportional to 6,830, 10,247.43 and 3,369.68

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Solution

The fourth proportional to 6,830, 10,247.43 and 3,369.68 is: 5,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830 : 10,247.43 = 3,369.68 : x
  2. Step 2: Convert to fraction form
    6,830/10,247.43 = 3,369.68/x
  3. Step 3: Cross multiply
    6,830x = 10,247.43 × 3,369.68
  4. Step 4: Simplify right side
    6,830x = 34,530,559.92
  5. Step 5: Solve for x
    x = 34,530,559.92/6,830
  6. Step 6: Final answer
    x = 5,055.72

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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.