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Finding the Fourth Proportional to 36,489.87, 54,743 and 11,531.41

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Solution

The fourth proportional to 36,489.87, 54,743 and 11,531.41 is: 17,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,489.87 : 54,743 = 11,531.41 : x
  2. Step 2: Convert to fraction form
    36,489.87/54,743 = 11,531.41/x
  3. Step 3: Cross multiply
    36,489.87x = 54,743 × 11,531.41
  4. Step 4: Simplify right side
    36,489.87x = 631,263,977.63
  5. Step 5: Solve for x
    x = 631,263,977.63/36,489.87
  6. Step 6: Final answer
    x = 17,299.70

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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.