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Finding the Fourth Proportional to 5,382.62, 8,070.62 and 2,091.88

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Solution

The fourth proportional to 5,382.62, 8,070.62 and 2,091.88 is: 3,136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.62 : 8,070.62 = 2,091.88 : x
  2. Step 2: Convert to fraction form
    5,382.62/8,070.62 = 2,091.88/x
  3. Step 3: Cross multiply
    5,382.62x = 8,070.62 × 2,091.88
  4. Step 4: Simplify right side
    5,382.62x = 16,882,734.56
  5. Step 5: Solve for x
    x = 16,882,734.56/5,382.62
  6. Step 6: Final answer
    x = 3,136.53

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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.