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Finding the Fourth Proportional to 7,991.64, 11,973.60 and 7,180.02

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Solution

The fourth proportional to 7,991.64, 11,973.60 and 7,180.02 is: 10,757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,991.64 : 11,973.60 = 7,180.02 : x
  2. Step 2: Convert to fraction form
    7,991.64/11,973.60 = 7,180.02/x
  3. Step 3: Cross multiply
    7,991.64x = 11,973.60 × 7,180.02
  4. Step 4: Simplify right side
    7,991.64x = 85,970,687.47
  5. Step 5: Solve for x
    x = 85,970,687.47/7,991.64
  6. Step 6: Final answer
    x = 10,757.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.