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Finding the Fourth Proportional to 8,138.58, 12,195.09 and 4,849.89

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Solution

The fourth proportional to 8,138.58, 12,195.09 and 4,849.89 is: 7,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.58 : 12,195.09 = 4,849.89 : x
  2. Step 2: Convert to fraction form
    8,138.58/12,195.09 = 4,849.89/x
  3. Step 3: Cross multiply
    8,138.58x = 12,195.09 × 4,849.89
  4. Step 4: Simplify right side
    8,138.58x = 59,144,845.04
  5. Step 5: Solve for x
    x = 59,144,845.04/8,138.58
  6. Step 6: Final answer
    x = 7,267.22

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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.