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Finding the Fourth Proportional to 7,771, 10,724.04 and 4,234.12

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Solution

The fourth proportional to 7,771, 10,724.04 and 4,234.12 is: 5,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771 : 10,724.04 = 4,234.12 : x
  2. Step 2: Convert to fraction form
    7,771/10,724.04 = 4,234.12/x
  3. Step 3: Cross multiply
    7,771x = 10,724.04 × 4,234.12
  4. Step 4: Simplify right side
    7,771x = 45,406,872.24
  5. Step 5: Solve for x
    x = 45,406,872.24/7,771
  6. Step 6: Final answer
    x = 5,843.12

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Double scale
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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.