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Finding the Fourth Proportional to 6,340.86, 9,512.20 and 1,958.70

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Solution

The fourth proportional to 6,340.86, 9,512.20 and 1,958.70 is: 2,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.86 : 9,512.20 = 1,958.70 : x
  2. Step 2: Convert to fraction form
    6,340.86/9,512.20 = 1,958.70/x
  3. Step 3: Cross multiply
    6,340.86x = 9,512.20 × 1,958.70
  4. Step 4: Simplify right side
    6,340.86x = 18,631,546.14
  5. Step 5: Solve for x
    x = 18,631,546.14/6,340.86
  6. Step 6: Final answer
    x = 2,938.33

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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.