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Finding the Fourth Proportional to 8,102.11, 12,125.73 and 4,984.09

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Solution

The fourth proportional to 8,102.11, 12,125.73 and 4,984.09 is: 7,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.11 : 12,125.73 = 4,984.09 : x
  2. Step 2: Convert to fraction form
    8,102.11/12,125.73 = 4,984.09/x
  3. Step 3: Cross multiply
    8,102.11x = 12,125.73 × 4,984.09
  4. Step 4: Simplify right side
    8,102.11x = 60,435,729.64
  5. Step 5: Solve for x
    x = 60,435,729.64/8,102.11
  6. Step 6: Final answer
    x = 7,459.26

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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.