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Finding the Fourth Proportional to 7,861.91, 10,850.49 and 7,197.57

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Solution

The fourth proportional to 7,861.91, 10,850.49 and 7,197.57 is: 9,933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.91 : 10,850.49 = 7,197.57 : x
  2. Step 2: Convert to fraction form
    7,861.91/10,850.49 = 7,197.57/x
  3. Step 3: Cross multiply
    7,861.91x = 10,850.49 × 7,197.57
  4. Step 4: Simplify right side
    7,861.91x = 78,097,161.31
  5. Step 5: Solve for x
    x = 78,097,161.31/7,861.91
  6. Step 6: Final answer
    x = 9,933.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.