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Finding the Fourth Proportional to 16,200, 22,356 and 8,748

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Solution

The fourth proportional to 16,200, 22,356 and 8,748 is: 12,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200 : 22,356 = 8,748 : x
  2. Step 2: Convert to fraction form
    16,200/22,356 = 8,748/x
  3. Step 3: Cross multiply
    16,200x = 22,356 × 8,748
  4. Step 4: Simplify right side
    16,200x = 195,570,288
  5. Step 5: Solve for x
    x = 195,570,288/16,200
  6. Step 6: Final answer
    x = 12,072.24

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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.