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Finding the Fourth Proportional to 7,680.50, 10,591.26 and 7,234.10

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Solution

The fourth proportional to 7,680.50, 10,591.26 and 7,234.10 is: 9,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.50 : 10,591.26 = 7,234.10 : x
  2. Step 2: Convert to fraction form
    7,680.50/10,591.26 = 7,234.10/x
  3. Step 3: Cross multiply
    7,680.50x = 10,591.26 × 7,234.10
  4. Step 4: Simplify right side
    7,680.50x = 76,618,233.97
  5. Step 5: Solve for x
    x = 76,618,233.97/7,680.50
  6. Step 6: Final answer
    x = 9,975.68

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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.