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Finding the Fourth Proportional to 22,967.68, 31,648.64 and 21,728

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Solution

The fourth proportional to 22,967.68, 31,648.64 and 21,728 is: 29,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.68 : 31,648.64 = 21,728 : x
  2. Step 2: Convert to fraction form
    22,967.68/31,648.64 = 21,728/x
  3. Step 3: Cross multiply
    22,967.68x = 31,648.64 × 21,728
  4. Step 4: Simplify right side
    22,967.68x = 687,661,649.92
  5. Step 5: Solve for x
    x = 687,661,649.92/22,967.68
  6. Step 6: Final answer
    x = 29,940.41

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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.