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Finding the Fourth Proportional to 10,137, 15,213.69 and 4,297.71

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Solution

The fourth proportional to 10,137, 15,213.69 and 4,297.71 is: 6,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137 : 15,213.69 = 4,297.71 : x
  2. Step 2: Convert to fraction form
    10,137/15,213.69 = 4,297.71/x
  3. Step 3: Cross multiply
    10,137x = 15,213.69 × 4,297.71
  4. Step 4: Simplify right side
    10,137x = 65,384,027.65
  5. Step 5: Solve for x
    x = 65,384,027.65/10,137
  6. Step 6: Final answer
    x = 6,450.04

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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.