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Finding the Fourth Proportional to 8,108, 11,184.72 and 5,450.84

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Solution

The fourth proportional to 8,108, 11,184.72 and 5,450.84 is: 7,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108 : 11,184.72 = 5,450.84 : x
  2. Step 2: Convert to fraction form
    8,108/11,184.72 = 5,450.84/x
  3. Step 3: Cross multiply
    8,108x = 11,184.72 × 5,450.84
  4. Step 4: Simplify right side
    8,108x = 60,966,119.16
  5. Step 5: Solve for x
    x = 60,966,119.16/8,108
  6. Step 6: Final answer
    x = 7,519.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.