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Finding the Fourth Proportional to 6,121.40, 8,442 and 5,179.24

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Solution

The fourth proportional to 6,121.40, 8,442 and 5,179.24 is: 7,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.40 : 8,442 = 5,179.24 : x
  2. Step 2: Convert to fraction form
    6,121.40/8,442 = 5,179.24/x
  3. Step 3: Cross multiply
    6,121.40x = 8,442 × 5,179.24
  4. Step 4: Simplify right side
    6,121.40x = 43,723,144.08
  5. Step 5: Solve for x
    x = 43,723,144.08/6,121.40
  6. Step 6: Final answer
    x = 7,142.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.