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Finding the Fourth Proportional to 7,771.39, 10,724.50 and 4,234.60

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Solution

The fourth proportional to 7,771.39, 10,724.50 and 4,234.60 is: 5,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.39 : 10,724.50 = 4,234.60 : x
  2. Step 2: Convert to fraction form
    7,771.39/10,724.50 = 4,234.60/x
  3. Step 3: Cross multiply
    7,771.39x = 10,724.50 × 4,234.60
  4. Step 4: Simplify right side
    7,771.39x = 45,413,967.70
  5. Step 5: Solve for x
    x = 45,413,967.70/7,771.39
  6. Step 6: Final answer
    x = 5,843.74

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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.