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Finding the Fourth Proportional to 5,478.74, 8,211.74 and 2,192.78

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Solution

The fourth proportional to 5,478.74, 8,211.74 and 2,192.78 is: 3,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.74 : 8,211.74 = 2,192.78 : x
  2. Step 2: Convert to fraction form
    5,478.74/8,211.74 = 2,192.78/x
  3. Step 3: Cross multiply
    5,478.74x = 8,211.74 × 2,192.78
  4. Step 4: Simplify right side
    5,478.74x = 18,006,539.24
  5. Step 5: Solve for x
    x = 18,006,539.24/5,478.74
  6. Step 6: Final answer
    x = 3,286.62

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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.