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Finding the Fourth Proportional to 36,267.76, 54,390.12 and 11,638

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Solution

The fourth proportional to 36,267.76, 54,390.12 and 11,638 is: 17,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,267.76 : 54,390.12 = 11,638 : x
  2. Step 2: Convert to fraction form
    36,267.76/54,390.12 = 11,638/x
  3. Step 3: Cross multiply
    36,267.76x = 54,390.12 × 11,638
  4. Step 4: Simplify right side
    36,267.76x = 632,992,216.56
  5. Step 5: Solve for x
    x = 632,992,216.56/36,267.76
  6. Step 6: Final answer
    x = 17,453.30

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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.