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Finding the Fourth Proportional to 6,379.65, 9,568.80 and 1,997.19

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Solution

The fourth proportional to 6,379.65, 9,568.80 and 1,997.19 is: 2,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.65 : 9,568.80 = 1,997.19 : x
  2. Step 2: Convert to fraction form
    6,379.65/9,568.80 = 1,997.19/x
  3. Step 3: Cross multiply
    6,379.65x = 9,568.80 × 1,997.19
  4. Step 4: Simplify right side
    6,379.65x = 19,110,711.67
  5. Step 5: Solve for x
    x = 19,110,711.67/6,379.65
  6. Step 6: Final answer
    x = 2,995.57

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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.