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Finding the Fourth Proportional to 5,321.89, 7,982.84 and 1,624.14

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Solution

The fourth proportional to 5,321.89, 7,982.84 and 1,624.14 is: 2,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.89 : 7,982.84 = 1,624.14 : x
  2. Step 2: Convert to fraction form
    5,321.89/7,982.84 = 1,624.14/x
  3. Step 3: Cross multiply
    5,321.89x = 7,982.84 × 1,624.14
  4. Step 4: Simplify right side
    5,321.89x = 12,965,247.73
  5. Step 5: Solve for x
    x = 12,965,247.73/5,321.89
  6. Step 6: Final answer
    x = 2,436.21

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Similar ratio
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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.