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Finding the Fourth Proportional to 7,137.37, 10,706.87 and 2,979.37

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Solution

The fourth proportional to 7,137.37, 10,706.87 and 2,979.37 is: 4,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.37 : 10,706.87 = 2,979.37 : x
  2. Step 2: Convert to fraction form
    7,137.37/10,706.87 = 2,979.37/x
  3. Step 3: Cross multiply
    7,137.37x = 10,706.87 × 2,979.37
  4. Step 4: Simplify right side
    7,137.37x = 31,899,727.27
  5. Step 5: Solve for x
    x = 31,899,727.27/7,137.37
  6. Step 6: Final answer
    x = 4,469.40

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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.