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Finding the Fourth Proportional to 6,788, 10,183.98 and 2,892.80

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Solution

The fourth proportional to 6,788, 10,183.98 and 2,892.80 is: 4,340.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788 : 10,183.98 = 2,892.80 : x
  2. Step 2: Convert to fraction form
    6,788/10,183.98 = 2,892.80/x
  3. Step 3: Cross multiply
    6,788x = 10,183.98 × 2,892.80
  4. Step 4: Simplify right side
    6,788x = 29,460,217.34
  5. Step 5: Solve for x
    x = 29,460,217.34/6,788
  6. Step 6: Final answer
    x = 4,340.04

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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.