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Finding the Fourth Proportional to 30,309.76, 41,814 and 17,728.96

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Solution

The fourth proportional to 30,309.76, 41,814 and 17,728.96 is: 24,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309.76 : 41,814 = 17,728.96 : x
  2. Step 2: Convert to fraction form
    30,309.76/41,814 = 17,728.96/x
  3. Step 3: Cross multiply
    30,309.76x = 41,814 × 17,728.96
  4. Step 4: Simplify right side
    30,309.76x = 741,318,733.44
  5. Step 5: Solve for x
    x = 741,318,733.44/30,309.76
  6. Step 6: Final answer
    x = 24,458.09

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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.