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Finding the Fourth Proportional to 5,321.72, 7,982.94 and 1,623.99

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Solution

The fourth proportional to 5,321.72, 7,982.94 and 1,623.99 is: 2,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.72 : 7,982.94 = 1,623.99 : x
  2. Step 2: Convert to fraction form
    5,321.72/7,982.94 = 1,623.99/x
  3. Step 3: Cross multiply
    5,321.72x = 7,982.94 × 1,623.99
  4. Step 4: Simplify right side
    5,321.72x = 12,964,250.76
  5. Step 5: Solve for x
    x = 12,964,250.76/5,321.72
  6. Step 6: Final answer
    x = 2,436.10

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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.