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Finding the Fourth Proportional to 9,137.65, 13,707.90 and 3,872.67

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Solution

The fourth proportional to 9,137.65, 13,707.90 and 3,872.67 is: 5,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.65 : 13,707.90 = 3,872.67 : x
  2. Step 2: Convert to fraction form
    9,137.65/13,707.90 = 3,872.67/x
  3. Step 3: Cross multiply
    9,137.65x = 13,707.90 × 3,872.67
  4. Step 4: Simplify right side
    9,137.65x = 53,086,173.09
  5. Step 5: Solve for x
    x = 53,086,173.09/9,137.65
  6. Step 6: Final answer
    x = 5,809.61

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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.