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Finding the Fourth Proportional to 14,616, 20,175.20 and 8,728

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Solution

The fourth proportional to 14,616, 20,175.20 and 8,728 is: 12,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616 : 20,175.20 = 8,728 : x
  2. Step 2: Convert to fraction form
    14,616/20,175.20 = 8,728/x
  3. Step 3: Cross multiply
    14,616x = 20,175.20 × 8,728
  4. Step 4: Simplify right side
    14,616x = 176,089,145.60
  5. Step 5: Solve for x
    x = 176,089,145.60/14,616
  6. Step 6: Final answer
    x = 12,047.70

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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.