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Finding the Fourth Proportional to 6,664.12, 9,992.46 and 4,193.65

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Solution

The fourth proportional to 6,664.12, 9,992.46 and 4,193.65 is: 6,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.12 : 9,992.46 = 4,193.65 : x
  2. Step 2: Convert to fraction form
    6,664.12/9,992.46 = 4,193.65/x
  3. Step 3: Cross multiply
    6,664.12x = 9,992.46 × 4,193.65
  4. Step 4: Simplify right side
    6,664.12x = 41,904,879.99
  5. Step 5: Solve for x
    x = 41,904,879.99/6,664.12
  6. Step 6: Final answer
    x = 6,288.13

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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.