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Finding the Fourth Proportional to 5,497.32, 8,245.11 and 1,986.78

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Solution

The fourth proportional to 5,497.32, 8,245.11 and 1,986.78 is: 2,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.32 : 8,245.11 = 1,986.78 : x
  2. Step 2: Convert to fraction form
    5,497.32/8,245.11 = 1,986.78/x
  3. Step 3: Cross multiply
    5,497.32x = 8,245.11 × 1,986.78
  4. Step 4: Simplify right side
    5,497.32x = 16,381,219.65
  5. Step 5: Solve for x
    x = 16,381,219.65/5,497.32
  6. Step 6: Final answer
    x = 2,979.86

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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.