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Finding the Fourth Proportional to 14,504, 20,015.52 and 8,616

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Solution

The fourth proportional to 14,504, 20,015.52 and 8,616 is: 11,890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,504 : 20,015.52 = 8,616 : x
  2. Step 2: Convert to fraction form
    14,504/20,015.52 = 8,616/x
  3. Step 3: Cross multiply
    14,504x = 20,015.52 × 8,616
  4. Step 4: Simplify right side
    14,504x = 172,453,720.32
  5. Step 5: Solve for x
    x = 172,453,720.32/14,504
  6. Step 6: Final answer
    x = 11,890.08

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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.