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Finding the Fourth Proportional to 5,471.45, 8,207.19 and 1,961.31

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Solution

The fourth proportional to 5,471.45, 8,207.19 and 1,961.31 is: 2,941.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.45 : 8,207.19 = 1,961.31 : x
  2. Step 2: Convert to fraction form
    5,471.45/8,207.19 = 1,961.31/x
  3. Step 3: Cross multiply
    5,471.45x = 8,207.19 × 1,961.31
  4. Step 4: Simplify right side
    5,471.45x = 16,096,874.60
  5. Step 5: Solve for x
    x = 16,096,874.60/5,471.45
  6. Step 6: Final answer
    x = 2,941.98

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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.