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Finding the Fourth Proportional to 22,224, 30,669.48 and 12,288

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Solution

The fourth proportional to 22,224, 30,669.48 and 12,288 is: 16,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,224 : 30,669.48 = 12,288 : x
  2. Step 2: Convert to fraction form
    22,224/30,669.48 = 12,288/x
  3. Step 3: Cross multiply
    22,224x = 30,669.48 × 12,288
  4. Step 4: Simplify right side
    22,224x = 376,866,570.24
  5. Step 5: Solve for x
    x = 376,866,570.24/22,224
  6. Step 6: Final answer
    x = 16,957.64

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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.