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Finding the Fourth Proportional to 6,872.80, 10,311.90 and 2,712.10

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Solution

The fourth proportional to 6,872.80, 10,311.90 and 2,712.10 is: 4,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.80 : 10,311.90 = 2,712.10 : x
  2. Step 2: Convert to fraction form
    6,872.80/10,311.90 = 2,712.10/x
  3. Step 3: Cross multiply
    6,872.80x = 10,311.90 × 2,712.10
  4. Step 4: Simplify right side
    6,872.80x = 27,966,903.99
  5. Step 5: Solve for x
    x = 27,966,903.99/6,872.80
  6. Step 6: Final answer
    x = 4,069.22

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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.