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Finding the Fourth Proportional to 6,343.95, 9,516.20 and 1,961.49

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Solution

The fourth proportional to 6,343.95, 9,516.20 and 1,961.49 is: 2,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.95 : 9,516.20 = 1,961.49 : x
  2. Step 2: Convert to fraction form
    6,343.95/9,516.20 = 1,961.49/x
  3. Step 3: Cross multiply
    6,343.95x = 9,516.20 × 1,961.49
  4. Step 4: Simplify right side
    6,343.95x = 18,665,921.33
  5. Step 5: Solve for x
    x = 18,665,921.33/6,343.95
  6. Step 6: Final answer
    x = 2,942.32

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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.