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Finding the Fourth Proportional to 8,208, 12,312.41 and 2,660.85

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Solution

The fourth proportional to 8,208, 12,312.41 and 2,660.85 is: 3,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208 : 12,312.41 = 2,660.85 : x
  2. Step 2: Convert to fraction form
    8,208/12,312.41 = 2,660.85/x
  3. Step 3: Cross multiply
    8,208x = 12,312.41 × 2,660.85
  4. Step 4: Simplify right side
    8,208x = 32,761,462.84
  5. Step 5: Solve for x
    x = 32,761,462.84/8,208
  6. Step 6: Final answer
    x = 3,991.41

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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.