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Finding the Fourth Proportional to 21,906, 30,231.36 and 12,475.44

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Solution

The fourth proportional to 21,906, 30,231.36 and 12,475.44 is: 17,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906 : 30,231.36 = 12,475.44 : x
  2. Step 2: Convert to fraction form
    21,906/30,231.36 = 12,475.44/x
  3. Step 3: Cross multiply
    21,906x = 30,231.36 × 12,475.44
  4. Step 4: Simplify right side
    21,906x = 377,149,517.80
  5. Step 5: Solve for x
    x = 377,149,517.80/21,906
  6. Step 6: Final answer
    x = 17,216.72

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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.