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Finding the Fourth Proportional to 23,161, 31,964.34 and 13,225

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Solution

The fourth proportional to 23,161, 31,964.34 and 13,225 is: 18,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,161 : 31,964.34 = 13,225 : x
  2. Step 2: Convert to fraction form
    23,161/31,964.34 = 13,225/x
  3. Step 3: Cross multiply
    23,161x = 31,964.34 × 13,225
  4. Step 4: Simplify right side
    23,161x = 422,728,396.50
  5. Step 5: Solve for x
    x = 422,728,396.50/23,161
  6. Step 6: Final answer
    x = 18,251.73

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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.