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Finding the Fourth Proportional to 16,220, 22,383.60 and 8,768

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Solution

The fourth proportional to 16,220, 22,383.60 and 8,768 is: 12,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220 : 22,383.60 = 8,768 : x
  2. Step 2: Convert to fraction form
    16,220/22,383.60 = 8,768/x
  3. Step 3: Cross multiply
    16,220x = 22,383.60 × 8,768
  4. Step 4: Simplify right side
    16,220x = 196,259,404.80
  5. Step 5: Solve for x
    x = 196,259,404.80/16,220
  6. Step 6: Final answer
    x = 12,099.84

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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.