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Finding the Fourth Proportional to 6,138.67, 9,201.84 and 1,975.62

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Solution

The fourth proportional to 6,138.67, 9,201.84 and 1,975.62 is: 2,961.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.67 : 9,201.84 = 1,975.62 : x
  2. Step 2: Convert to fraction form
    6,138.67/9,201.84 = 1,975.62/x
  3. Step 3: Cross multiply
    6,138.67x = 9,201.84 × 1,975.62
  4. Step 4: Simplify right side
    6,138.67x = 18,179,342.85
  5. Step 5: Solve for x
    x = 18,179,342.85/6,138.67
  6. Step 6: Final answer
    x = 2,961.45

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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.