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Finding the Fourth Proportional to 8,051.92, 12,078.42 and 2,208.04

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Solution

The fourth proportional to 8,051.92, 12,078.42 and 2,208.04 is: 3,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.92 : 12,078.42 = 2,208.04 : x
  2. Step 2: Convert to fraction form
    8,051.92/12,078.42 = 2,208.04/x
  3. Step 3: Cross multiply
    8,051.92x = 12,078.42 × 2,208.04
  4. Step 4: Simplify right side
    8,051.92x = 26,669,634.50
  5. Step 5: Solve for x
    x = 26,669,634.50/8,051.92
  6. Step 6: Final answer
    x = 3,312.21

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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.