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Finding the Fourth Proportional to 21,671.28, 29,906.64 and 12,240

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Solution

The fourth proportional to 21,671.28, 29,906.64 and 12,240 is: 16,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.28 : 29,906.64 = 12,240 : x
  2. Step 2: Convert to fraction form
    21,671.28/29,906.64 = 12,240/x
  3. Step 3: Cross multiply
    21,671.28x = 29,906.64 × 12,240
  4. Step 4: Simplify right side
    21,671.28x = 366,057,273.60
  5. Step 5: Solve for x
    x = 366,057,273.60/21,671.28
  6. Step 6: Final answer
    x = 16,891.35

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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.