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Finding the Fourth Proportional to 6,755.69, 10,138.68 and 5,442.65

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Solution

The fourth proportional to 6,755.69, 10,138.68 and 5,442.65 is: 8,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.69 : 10,138.68 = 5,442.65 : x
  2. Step 2: Convert to fraction form
    6,755.69/10,138.68 = 5,442.65/x
  3. Step 3: Cross multiply
    6,755.69x = 10,138.68 × 5,442.65
  4. Step 4: Simplify right side
    6,755.69x = 55,181,286.70
  5. Step 5: Solve for x
    x = 55,181,286.70/6,755.69
  6. Step 6: Final answer
    x = 8,168.12

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1.5x scale

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.