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Finding the Fourth Proportional to 5,471.42, 8,205.10 and 1,960.47

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Solution

The fourth proportional to 5,471.42, 8,205.10 and 1,960.47 is: 2,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.42 : 8,205.10 = 1,960.47 : x
  2. Step 2: Convert to fraction form
    5,471.42/8,205.10 = 1,960.47/x
  3. Step 3: Cross multiply
    5,471.42x = 8,205.10 × 1,960.47
  4. Step 4: Simplify right side
    5,471.42x = 16,085,847.50
  5. Step 5: Solve for x
    x = 16,085,847.50/5,471.42
  6. Step 6: Final answer
    x = 2,939.98

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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.