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Finding the Fourth Proportional to 21,930.75, 30,269.90 and 12,974.99

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Solution

The fourth proportional to 21,930.75, 30,269.90 and 12,974.99 is: 17,908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.75 : 30,269.90 = 12,974.99 : x
  2. Step 2: Convert to fraction form
    21,930.75/30,269.90 = 12,974.99/x
  3. Step 3: Cross multiply
    21,930.75x = 30,269.90 × 12,974.99
  4. Step 4: Simplify right side
    21,930.75x = 392,751,530.89
  5. Step 5: Solve for x
    x = 392,751,530.89/21,930.75
  6. Step 6: Final answer
    x = 17,908.71

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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.