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Finding the Fourth Proportional to 8,100.96, 12,153.50 and 3,422.14

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Solution

The fourth proportional to 8,100.96, 12,153.50 and 3,422.14 is: 5,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100.96 : 12,153.50 = 3,422.14 : x
  2. Step 2: Convert to fraction form
    8,100.96/12,153.50 = 3,422.14/x
  3. Step 3: Cross multiply
    8,100.96x = 12,153.50 × 3,422.14
  4. Step 4: Simplify right side
    8,100.96x = 41,590,978.49
  5. Step 5: Solve for x
    x = 41,590,978.49/8,100.96
  6. Step 6: Final answer
    x = 5,134.08

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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.