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Finding the Fourth Proportional to 13,616, 18,789.72 and 7,648.32

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Solution

The fourth proportional to 13,616, 18,789.72 and 7,648.32 is: 10,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616 : 18,789.72 = 7,648.32 : x
  2. Step 2: Convert to fraction form
    13,616/18,789.72 = 7,648.32/x
  3. Step 3: Cross multiply
    13,616x = 18,789.72 × 7,648.32
  4. Step 4: Simplify right side
    13,616x = 143,709,791.27
  5. Step 5: Solve for x
    x = 143,709,791.27/13,616
  6. Step 6: Final answer
    x = 10,554.48

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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.