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Finding the Fourth Proportional to 7,137.65, 10,708.10 and 3,850.67

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Solution

The fourth proportional to 7,137.65, 10,708.10 and 3,850.67 is: 5,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.65 : 10,708.10 = 3,850.67 : x
  2. Step 2: Convert to fraction form
    7,137.65/10,708.10 = 3,850.67/x
  3. Step 3: Cross multiply
    7,137.65x = 10,708.10 × 3,850.67
  4. Step 4: Simplify right side
    7,137.65x = 41,233,359.43
  5. Step 5: Solve for x
    x = 41,233,359.43/7,137.65
  6. Step 6: Final answer
    x = 5,776.88

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1.5x scale

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.