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Finding the Fourth Proportional to 22,489.50, 31,049.91 and 20,127.54

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Solution

The fourth proportional to 22,489.50, 31,049.91 and 20,127.54 is: 27,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.50 : 31,049.91 = 20,127.54 : x
  2. Step 2: Convert to fraction form
    22,489.50/31,049.91 = 20,127.54/x
  3. Step 3: Cross multiply
    22,489.50x = 31,049.91 × 20,127.54
  4. Step 4: Simplify right side
    22,489.50x = 624,958,305.52
  5. Step 5: Solve for x
    x = 624,958,305.52/22,489.50
  6. Step 6: Final answer
    x = 27,788.89

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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.