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Finding the Fourth Proportional to 11,991.87, 16,532.64 and 8,402.00

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Solution

The fourth proportional to 11,991.87, 16,532.64 and 8,402.00 is: 11,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.87 : 16,532.64 = 8,402.00 : x
  2. Step 2: Convert to fraction form
    11,991.87/16,532.64 = 8,402.00/x
  3. Step 3: Cross multiply
    11,991.87x = 16,532.64 × 8,402.00
  4. Step 4: Simplify right side
    11,991.87x = 138,907,158.62
  5. Step 5: Solve for x
    x = 138,907,158.62/11,991.87
  6. Step 6: Final answer
    x = 11,583.44

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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.