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Finding the Fourth Proportional to 4,766.72, 7,149.20 and 1,992.65

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Solution

The fourth proportional to 4,766.72, 7,149.20 and 1,992.65 is: 2,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.72 : 7,149.20 = 1,992.65 : x
  2. Step 2: Convert to fraction form
    4,766.72/7,149.20 = 1,992.65/x
  3. Step 3: Cross multiply
    4,766.72x = 7,149.20 × 1,992.65
  4. Step 4: Simplify right side
    4,766.72x = 14,245,847.88
  5. Step 5: Solve for x
    x = 14,245,847.88/4,766.72
  6. Step 6: Final answer
    x = 2,988.61

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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.