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Finding the Fourth Proportional to 21,772.69, 30,039.21 and 12,696.00

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Solution

The fourth proportional to 21,772.69, 30,039.21 and 12,696.00 is: 17,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772.69 : 30,039.21 = 12,696.00 : x
  2. Step 2: Convert to fraction form
    21,772.69/30,039.21 = 12,696.00/x
  3. Step 3: Cross multiply
    21,772.69x = 30,039.21 × 12,696.00
  4. Step 4: Simplify right side
    21,772.69x = 381,377,659.96
  5. Step 5: Solve for x
    x = 381,377,659.96/21,772.69
  6. Step 6: Final answer
    x = 17,516.34

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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.