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Finding the Fourth Proportional to 8,737, 13,112.79 and 4,120

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Solution

The fourth proportional to 8,737, 13,112.79 and 4,120 is: 6,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737 : 13,112.79 = 4,120 : x
  2. Step 2: Convert to fraction form
    8,737/13,112.79 = 4,120/x
  3. Step 3: Cross multiply
    8,737x = 13,112.79 × 4,120
  4. Step 4: Simplify right side
    8,737x = 54,024,694.80
  5. Step 5: Solve for x
    x = 54,024,694.80/8,737
  6. Step 6: Final answer
    x = 6,183.44

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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.