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Finding the Fourth Proportional to 15,906.36, 21,958.22 and 9,946.78

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Solution

The fourth proportional to 15,906.36, 21,958.22 and 9,946.78 is: 13,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.36 : 21,958.22 = 9,946.78 : x
  2. Step 2: Convert to fraction form
    15,906.36/21,958.22 = 9,946.78/x
  3. Step 3: Cross multiply
    15,906.36x = 21,958.22 × 9,946.78
  4. Step 4: Simplify right side
    15,906.36x = 218,413,583.53
  5. Step 5: Solve for x
    x = 218,413,583.53/15,906.36
  6. Step 6: Final answer
    x = 13,731.21

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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.