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Finding the Fourth Proportional to 11,762.82, 16,239.69 and 7,048.62

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Solution

The fourth proportional to 11,762.82, 16,239.69 and 7,048.62 is: 9,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.82 : 16,239.69 = 7,048.62 : x
  2. Step 2: Convert to fraction form
    11,762.82/16,239.69 = 7,048.62/x
  3. Step 3: Cross multiply
    11,762.82x = 16,239.69 × 7,048.62
  4. Step 4: Simplify right side
    11,762.82x = 114,467,403.73
  5. Step 5: Solve for x
    x = 114,467,403.73/11,762.82
  6. Step 6: Final answer
    x = 9,731.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.