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Finding the Fourth Proportional to 43,583.84, 65,375.64 and 11,991.56

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Solution

The fourth proportional to 43,583.84, 65,375.64 and 11,991.56 is: 17,987.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,583.84 : 65,375.64 = 11,991.56 : x
  2. Step 2: Convert to fraction form
    43,583.84/65,375.64 = 11,991.56/x
  3. Step 3: Cross multiply
    43,583.84x = 65,375.64 × 11,991.56
  4. Step 4: Simplify right side
    43,583.84x = 783,955,909.60
  5. Step 5: Solve for x
    x = 783,955,909.60/43,583.84
  6. Step 6: Final answer
    x = 17,987.31

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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.