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Finding the Fourth Proportional to 20,225.71, 30,318.97 and 7,736.12

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Solution

The fourth proportional to 20,225.71, 30,318.97 and 7,736.12 is: 11,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.71 : 30,318.97 = 7,736.12 : x
  2. Step 2: Convert to fraction form
    20,225.71/30,318.97 = 7,736.12/x
  3. Step 3: Cross multiply
    20,225.71x = 30,318.97 × 7,736.12
  4. Step 4: Simplify right side
    20,225.71x = 234,551,190.20
  5. Step 5: Solve for x
    x = 234,551,190.20/20,225.71
  6. Step 6: Final answer
    x = 11,596.69

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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.