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Finding the Fourth Proportional to 20,847, 31,271.22 and 6,995.64

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Solution

The fourth proportional to 20,847, 31,271.22 and 6,995.64 is: 10,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,847 : 31,271.22 = 6,995.64 : x
  2. Step 2: Convert to fraction form
    20,847/31,271.22 = 6,995.64/x
  3. Step 3: Cross multiply
    20,847x = 31,271.22 × 6,995.64
  4. Step 4: Simplify right side
    20,847x = 218,762,197.48
  5. Step 5: Solve for x
    x = 218,762,197.48/20,847
  6. Step 6: Final answer
    x = 10,493.70

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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.