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Finding the Fourth Proportional to 13,751, 18,976.72 and 7,463.36

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Solution

The fourth proportional to 13,751, 18,976.72 and 7,463.36 is: 10,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751 : 18,976.72 = 7,463.36 : x
  2. Step 2: Convert to fraction form
    13,751/18,976.72 = 7,463.36/x
  3. Step 3: Cross multiply
    13,751x = 18,976.72 × 7,463.36
  4. Step 4: Simplify right side
    13,751x = 141,630,092.98
  5. Step 5: Solve for x
    x = 141,630,092.98/13,751
  6. Step 6: Final answer
    x = 10,299.62

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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.