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Finding the Fourth Proportional to 11,283.36, 16,906.54 and 7,990.54

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Solution

The fourth proportional to 11,283.36, 16,906.54 and 7,990.54 is: 11,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.36 : 16,906.54 = 7,990.54 : x
  2. Step 2: Convert to fraction form
    11,283.36/16,906.54 = 7,990.54/x
  3. Step 3: Cross multiply
    11,283.36x = 16,906.54 × 7,990.54
  4. Step 4: Simplify right side
    11,283.36x = 135,092,384.13
  5. Step 5: Solve for x
    x = 135,092,384.13/11,283.36
  6. Step 6: Final answer
    x = 11,972.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.