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Finding the Fourth Proportional to 8,000.20, 12,005.70 and 4,709.80

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Solution

The fourth proportional to 8,000.20, 12,005.70 and 4,709.80 is: 7,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.20 : 12,005.70 = 4,709.80 : x
  2. Step 2: Convert to fraction form
    8,000.20/12,005.70 = 4,709.80/x
  3. Step 3: Cross multiply
    8,000.20x = 12,005.70 × 4,709.80
  4. Step 4: Simplify right side
    8,000.20x = 56,544,445.86
  5. Step 5: Solve for x
    x = 56,544,445.86/8,000.20
  6. Step 6: Final answer
    x = 7,067.88

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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.